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Finding the Third Proportional to 648,337.50 and 951,471

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Solution

The third proportional to 648,337.50 and 951,471 is: 1,396,336.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    648,337.50 : 951,471 = 951,471 : x
  2. Step 2: Convert to fraction form
    648,337.50/951,471 = 951,471/x
  3. Step 3: Cross multiply
    648,337.50x = 951,471 × 951,471
  4. Step 4: Simplify right side
    648,337.50x = 905,297,063,841
  5. Step 5: Solve for x
    x = 905,297,063,841/648,337.50
  6. Step 6: Final answer
    x = 1,396,336.11

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.