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Finding the Third Proportional to 461,517.75 and 698,439.38

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Solution

The third proportional to 461,517.75 and 698,439.38 is: 1,056,985.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    461,517.75 : 698,439.38 = 698,439.38 : x
  2. Step 2: Convert to fraction form
    461,517.75/698,439.38 = 698,439.38/x
  3. Step 3: Cross multiply
    461,517.75x = 698,439.38 × 698,439.38
  4. Step 4: Simplify right side
    461,517.75x = 487,817,560,550.39
  5. Step 5: Solve for x
    x = 487,817,560,550.39/461,517.75
  6. Step 6: Final answer
    x = 1,056,985.48

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.