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Finding the Third Proportional to 397,234.13 and 588,132.56

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Solution

The third proportional to 397,234.13 and 588,132.56 is: 870,770.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    397,234.13 : 588,132.56 = 588,132.56 : x
  2. Step 2: Convert to fraction form
    397,234.13/588,132.56 = 588,132.56/x
  3. Step 3: Cross multiply
    397,234.13x = 588,132.56 × 588,132.56
  4. Step 4: Simplify right side
    397,234.13x = 345,899,911,072.82
  5. Step 5: Solve for x
    x = 345,899,911,072.82/397,234.13
  6. Step 6: Final answer
    x = 870,770.89

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.