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Finding the Third Proportional to 632,864 and 951,984

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Solution

The third proportional to 632,864 and 951,984 is: 1,432,019.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    632,864 : 951,984 = 951,984 : x
  2. Step 2: Convert to fraction form
    632,864/951,984 = 951,984/x
  3. Step 3: Cross multiply
    632,864x = 951,984 × 951,984
  4. Step 4: Simplify right side
    632,864x = 906,273,536,256
  5. Step 5: Solve for x
    x = 906,273,536,256/632,864
  6. Step 6: Final answer
    x = 1,432,019.42

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.