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Finding the Third Proportional to 480,789 and 747,429.75

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Solution

The third proportional to 480,789 and 747,429.75 is: 1,161,946.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    480,789 : 747,429.75 = 747,429.75 : x
  2. Step 2: Convert to fraction form
    480,789/747,429.75 = 747,429.75/x
  3. Step 3: Cross multiply
    480,789x = 747,429.75 × 747,429.75
  4. Step 4: Simplify right side
    480,789x = 558,651,231,185.06
  5. Step 5: Solve for x
    x = 558,651,231,185.06/480,789
  6. Step 6: Final answer
    x = 1,161,946.78

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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.