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Finding the Third Proportional to 253,150 and 392,488

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Solution

The third proportional to 253,150 and 392,488 is: 608,519.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    253,150 : 392,488 = 392,488 : x
  2. Step 2: Convert to fraction form
    253,150/392,488 = 392,488/x
  3. Step 3: Cross multiply
    253,150x = 392,488 × 392,488
  4. Step 4: Simplify right side
    253,150x = 154,046,830,144
  5. Step 5: Solve for x
    x = 154,046,830,144/253,150
  6. Step 6: Final answer
    x = 608,519.97

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.