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Finding the Third Proportional to 252,662 and 371,603

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Solution

The third proportional to 252,662 and 371,603 is: 546,535.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    252,662 : 371,603 = 371,603 : x
  2. Step 2: Convert to fraction form
    252,662/371,603 = 371,603/x
  3. Step 3: Cross multiply
    252,662x = 371,603 × 371,603
  4. Step 4: Simplify right side
    252,662x = 138,088,789,609
  5. Step 5: Solve for x
    x = 138,088,789,609/252,662
  6. Step 6: Final answer
    x = 546,535.65

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These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.