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Finding the Third Proportional to 486,972.50 and 748,926.75

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Solution

The third proportional to 486,972.50 and 748,926.75 is: 1,151,792.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    486,972.50 : 748,926.75 = 748,926.75 : x
  2. Step 2: Convert to fraction form
    486,972.50/748,926.75 = 748,926.75/x
  3. Step 3: Cross multiply
    486,972.50x = 748,926.75 × 748,926.75
  4. Step 4: Simplify right side
    486,972.50x = 560,891,276,865.56
  5. Step 5: Solve for x
    x = 560,891,276,865.56/486,972.50
  6. Step 6: Final answer
    x = 1,151,792.51

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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.