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Finding the Third Proportional to 288,234,948,534.76 and 600,326,927,469

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Solution

The third proportional to 288,234,948,534.76 and 600,326,927,469 is: 1,250,342,547,551.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    288,234,948,534.76 : 600,326,927,469 = 600,326,927,469 : x
  2. Step 2: Convert to fraction form
    288,234,948,534.76/600,326,927,469 = 600,326,927,469/x
  3. Step 3: Cross multiply
    288,234,948,534.76x = 600,326,927,469 × 600,326,927,469
  4. Step 4: Simplify right side
    288,234,948,534.76x = 360,392,419,844,369,984,520,192
  5. Step 5: Solve for x
    x = 360,392,419,844,369,984,520,192/288,234,948,534.76
  6. Step 6: Final answer
    x = 1,250,342,547,551.65

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.