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Finding the Third Proportional to 287,351,570.25 and 443,953,345.50

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Solution

The third proportional to 287,351,570.25 and 443,953,345.50 is: 685,900,455.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    287,351,570.25 : 443,953,345.50 = 443,953,345.50 : x
  2. Step 2: Convert to fraction form
    287,351,570.25/443,953,345.50 = 443,953,345.50/x
  3. Step 3: Cross multiply
    287,351,570.25x = 443,953,345.50 × 443,953,345.50
  4. Step 4: Simplify right side
    287,351,570.25x = 197,094,572,980,642,368
  5. Step 5: Solve for x
    x = 197,094,572,980,642,368/287,351,570.25
  6. Step 6: Final answer
    x = 685,900,455.70

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.