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Finding the Third Proportional to 397,198.69 and 588,082.78

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Solution

The third proportional to 397,198.69 and 588,082.78 is: 870,701.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    397,198.69 : 588,082.78 = 588,082.78 : x
  2. Step 2: Convert to fraction form
    397,198.69/588,082.78 = 588,082.78/x
  3. Step 3: Cross multiply
    397,198.69x = 588,082.78 × 588,082.78
  4. Step 4: Simplify right side
    397,198.69x = 345,841,357,602.74
  5. Step 5: Solve for x
    x = 345,841,357,602.74/397,198.69
  6. Step 6: Final answer
    x = 870,701.16

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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.