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Finding the Third Proportional to 480,735.75 and 747,327.38

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Solution

The third proportional to 480,735.75 and 747,327.38 is: 1,161,757.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    480,735.75 : 747,327.38 = 747,327.38 : x
  2. Step 2: Convert to fraction form
    480,735.75/747,327.38 = 747,327.38/x
  3. Step 3: Cross multiply
    480,735.75x = 747,327.38 × 747,327.38
  4. Step 4: Simplify right side
    480,735.75x = 558,498,205,424.39
  5. Step 5: Solve for x
    x = 558,498,205,424.39/480,735.75
  6. Step 6: Final answer
    x = 1,161,757.17

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.