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Finding the Third Proportional to 467,902.13 and 698,734.13

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Solution

The third proportional to 467,902.13 and 698,734.13 is: 1,043,443.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    467,902.13 : 698,734.13 = 698,734.13 : x
  2. Step 2: Convert to fraction form
    467,902.13/698,734.13 = 698,734.13/x
  3. Step 3: Cross multiply
    467,902.13x = 698,734.13 × 698,734.13
  4. Step 4: Simplify right side
    467,902.13x = 488,229,377,439.52
  5. Step 5: Solve for x
    x = 488,229,377,439.52/467,902.13
  6. Step 6: Final answer
    x = 1,043,443.39

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.