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Finding the Third Proportional to 250,684 and 411,517

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Solution

The third proportional to 250,684 and 411,517 is: 675,536.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    250,684 : 411,517 = 411,517 : x
  2. Step 2: Convert to fraction form
    250,684/411,517 = 411,517/x
  3. Step 3: Cross multiply
    250,684x = 411,517 × 411,517
  4. Step 4: Simplify right side
    250,684x = 169,346,241,289
  5. Step 5: Solve for x
    x = 169,346,241,289/250,684
  6. Step 6: Final answer
    x = 675,536.70

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Why These Related Problems?

These problems maintain the same ratio (1.64) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.