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Finding the Third Proportional to 534,681 and 752,287.50

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Solution

The third proportional to 534,681 and 752,287.50 is: 1,058,456.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    534,681 : 752,287.50 = 752,287.50 : x
  2. Step 2: Convert to fraction form
    534,681/752,287.50 = 752,287.50/x
  3. Step 3: Cross multiply
    534,681x = 752,287.50 × 752,287.50
  4. Step 4: Simplify right side
    534,681x = 565,936,482,656.25
  5. Step 5: Solve for x
    x = 565,936,482,656.25/534,681
  6. Step 6: Final answer
    x = 1,058,456.32

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