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Finding the Third Proportional to 568,755 and 856,737

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Solution

The third proportional to 568,755 and 856,737 is: 1,290,535.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    568,755 : 856,737 = 856,737 : x
  2. Step 2: Convert to fraction form
    568,755/856,737 = 856,737/x
  3. Step 3: Cross multiply
    568,755x = 856,737 × 856,737
  4. Step 4: Simplify right side
    568,755x = 733,998,287,169
  5. Step 5: Solve for x
    x = 733,998,287,169/568,755
  6. Step 6: Final answer
    x = 1,290,535.09

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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.