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Finding the Third Proportional to 480,664.13 and 747,240.19

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Solution

The third proportional to 480,664.13 and 747,240.19 is: 1,161,659.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    480,664.13 : 747,240.19 = 747,240.19 : x
  2. Step 2: Convert to fraction form
    480,664.13/747,240.19 = 747,240.19/x
  3. Step 3: Cross multiply
    480,664.13x = 747,240.19 × 747,240.19
  4. Step 4: Simplify right side
    480,664.13x = 558,367,897,815.04
  5. Step 5: Solve for x
    x = 558,367,897,815.04/480,664.13
  6. Step 6: Final answer
    x = 1,161,659.19

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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.