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Finding the Third Proportional to 140,794 and 286,479

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Solution

The third proportional to 140,794 and 286,479 is: 582,909.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    140,794 : 286,479 = 286,479 : x
  2. Step 2: Convert to fraction form
    140,794/286,479 = 286,479/x
  3. Step 3: Cross multiply
    140,794x = 286,479 × 286,479
  4. Step 4: Simplify right side
    140,794x = 82,070,217,441
  5. Step 5: Solve for x
    x = 82,070,217,441/140,794
  6. Step 6: Final answer
    x = 582,909.91

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.