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Finding the Third Proportional to 492,542 and 748,745

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Solution

The third proportional to 492,542 and 748,745 is: 1,138,215.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    492,542 : 748,745 = 748,745 : x
  2. Step 2: Convert to fraction form
    492,542/748,745 = 748,745/x
  3. Step 3: Cross multiply
    492,542x = 748,745 × 748,745
  4. Step 4: Simplify right side
    492,542x = 560,619,075,025
  5. Step 5: Solve for x
    x = 560,619,075,025/492,542
  6. Step 6: Final answer
    x = 1,138,215.78

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.