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Finding the Third Proportional to 185,944 and 406,448

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Solution

The third proportional to 185,944 and 406,448 is: 888,439.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    185,944 : 406,448 = 406,448 : x
  2. Step 2: Convert to fraction form
    185,944/406,448 = 406,448/x
  3. Step 3: Cross multiply
    185,944x = 406,448 × 406,448
  4. Step 4: Simplify right side
    185,944x = 165,199,976,704
  5. Step 5: Solve for x
    x = 165,199,976,704/185,944
  6. Step 6: Final answer
    x = 888,439.40

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.