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Finding the Third Proportional to 419,596 and 632,876

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Solution

The third proportional to 419,596 and 632,876 is: 954,565.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    419,596 : 632,876 = 632,876 : x
  2. Step 2: Convert to fraction form
    419,596/632,876 = 632,876/x
  3. Step 3: Cross multiply
    419,596x = 632,876 × 632,876
  4. Step 4: Simplify right side
    419,596x = 400,532,031,376
  5. Step 5: Solve for x
    x = 400,532,031,376/419,596
  6. Step 6: Final answer
    x = 954,565.90

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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.