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Finding the Third Proportional to 632,034.75 and 963,793.88

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Solution

The third proportional to 632,034.75 and 963,793.88 is: 1,469,695.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    632,034.75 : 963,793.88 = 963,793.88 : x
  2. Step 2: Convert to fraction form
    632,034.75/963,793.88 = 963,793.88/x
  3. Step 3: Cross multiply
    632,034.75x = 963,793.88 × 963,793.88
  4. Step 4: Simplify right side
    632,034.75x = 928,898,633,487.52
  5. Step 5: Solve for x
    x = 928,898,633,487.52/632,034.75
  6. Step 6: Final answer
    x = 1,469,695.51

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.