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Finding the Third Proportional to 406,086.75 and 595,279.13

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Solution

The third proportional to 406,086.75 and 595,279.13 is: 872,614.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    406,086.75 : 595,279.13 = 595,279.13 : x
  2. Step 2: Convert to fraction form
    406,086.75/595,279.13 = 595,279.13/x
  3. Step 3: Cross multiply
    406,086.75x = 595,279.13 × 595,279.13
  4. Step 4: Simplify right side
    406,086.75x = 354,357,236,660.77
  5. Step 5: Solve for x
    x = 354,357,236,660.77/406,086.75
  6. Step 6: Final answer
    x = 872,614.62

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.