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Finding the Third Proportional to 532,001.25 and 746,503.88

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Solution

The third proportional to 532,001.25 and 746,503.88 is: 1,047,493.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    532,001.25 : 746,503.88 = 746,503.88 : x
  2. Step 2: Convert to fraction form
    532,001.25/746,503.88 = 746,503.88/x
  3. Step 3: Cross multiply
    532,001.25x = 746,503.88 × 746,503.88
  4. Step 4: Simplify right side
    532,001.25x = 557,268,035,390.02
  5. Step 5: Solve for x
    x = 557,268,035,390.02/532,001.25
  6. Step 6: Final answer
    x = 1,047,493.85

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These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.