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Finding the Third Proportional to 534,688 and 752,295

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Solution

The third proportional to 534,688 and 752,295 is: 1,058,463.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    534,688 : 752,295 = 752,295 : x
  2. Step 2: Convert to fraction form
    534,688/752,295 = 752,295/x
  3. Step 3: Cross multiply
    534,688x = 752,295 × 752,295
  4. Step 4: Simplify right side
    534,688x = 565,947,767,025
  5. Step 5: Solve for x
    x = 565,947,767,025/534,688
  6. Step 6: Final answer
    x = 1,058,463.57

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.