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Finding the Third Proportional to 480,849.75 and 747,505.13

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Solution

The third proportional to 480,849.75 and 747,505.13 is: 1,162,034.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    480,849.75 : 747,505.13 = 747,505.13 : x
  2. Step 2: Convert to fraction form
    480,849.75/747,505.13 = 747,505.13/x
  3. Step 3: Cross multiply
    480,849.75x = 747,505.13 × 747,505.13
  4. Step 4: Simplify right side
    480,849.75x = 558,763,911,901.27
  5. Step 5: Solve for x
    x = 558,763,911,901.27/480,849.75
  6. Step 6: Final answer
    x = 1,162,034.32

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