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Finding the Third Proportional to 730,497 and 1,123,449.75

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Solution

The third proportional to 730,497 and 1,123,449.75 is: 1,727,781.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    730,497 : 1,123,449.75 = 1,123,449.75 : x
  2. Step 2: Convert to fraction form
    730,497/1,123,449.75 = 1,123,449.75/x
  3. Step 3: Cross multiply
    730,497x = 1,123,449.75 × 1,123,449.75
  4. Step 4: Simplify right side
    730,497x = 1,262,139,340,775.06
  5. Step 5: Solve for x
    x = 1,262,139,340,775.06/730,497
  6. Step 6: Final answer
    x = 1,727,781.69

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These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.