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Finding the Third Proportional to 530,737 and 794,161

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Solution

The third proportional to 530,737 and 794,161 is: 1,188,331.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    530,737 : 794,161 = 794,161 : x
  2. Step 2: Convert to fraction form
    530,737/794,161 = 794,161/x
  3. Step 3: Cross multiply
    530,737x = 794,161 × 794,161
  4. Step 4: Simplify right side
    530,737x = 630,691,693,921
  5. Step 5: Solve for x
    x = 630,691,693,921/530,737
  6. Step 6: Final answer
    x = 1,188,331.87

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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.