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Finding the Third Proportional to 363,234 and 791,863

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Solution

The third proportional to 363,234 and 791,863 is: 1,726,289.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    363,234 : 791,863 = 791,863 : x
  2. Step 2: Convert to fraction form
    363,234/791,863 = 791,863/x
  3. Step 3: Cross multiply
    363,234x = 791,863 × 791,863
  4. Step 4: Simplify right side
    363,234x = 627,047,010,769
  5. Step 5: Solve for x
    x = 627,047,010,769/363,234
  6. Step 6: Final answer
    x = 1,726,289.42

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.