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Finding the Third Proportional to 534,690 and 752,298

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Solution

The third proportional to 534,690 and 752,298 is: 1,058,468.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    534,690 : 752,298 = 752,298 : x
  2. Step 2: Convert to fraction form
    534,690/752,298 = 752,298/x
  3. Step 3: Cross multiply
    534,690x = 752,298 × 752,298
  4. Step 4: Simplify right side
    534,690x = 565,952,280,804
  5. Step 5: Solve for x
    x = 565,952,280,804/534,690
  6. Step 6: Final answer
    x = 1,058,468.05

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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.