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Finding the Third Proportional to 484,374.75 and 747,001.13

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Solution

The third proportional to 484,374.75 and 747,001.13 is: 1,152,022.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    484,374.75 : 747,001.13 = 747,001.13 : x
  2. Step 2: Convert to fraction form
    484,374.75/747,001.13 = 747,001.13/x
  3. Step 3: Cross multiply
    484,374.75x = 747,001.13 × 747,001.13
  4. Step 4: Simplify right side
    484,374.75x = 558,010,680,751.27
  5. Step 5: Solve for x
    x = 558,010,680,751.27/484,374.75
  6. Step 6: Final answer
    x = 1,152,022.65

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Why These Related Problems?

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