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Finding the Third Proportional to 538,713.50 and 803,398

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Solution

The third proportional to 538,713.50 and 803,398 is: 1,198,129.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    538,713.50 : 803,398 = 803,398 : x
  2. Step 2: Convert to fraction form
    538,713.50/803,398 = 803,398/x
  3. Step 3: Cross multiply
    538,713.50x = 803,398 × 803,398
  4. Step 4: Simplify right side
    538,713.50x = 645,448,346,404
  5. Step 5: Solve for x
    x = 645,448,346,404/538,713.50
  6. Step 6: Final answer
    x = 1,198,129.15

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.