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Finding the Third Proportional to 392,856 and 588,630

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Solution

The third proportional to 392,856 and 588,630 is: 881,965.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    392,856 : 588,630 = 588,630 : x
  2. Step 2: Convert to fraction form
    392,856/588,630 = 588,630/x
  3. Step 3: Cross multiply
    392,856x = 588,630 × 588,630
  4. Step 4: Simplify right side
    392,856x = 346,485,276,900
  5. Step 5: Solve for x
    x = 346,485,276,900/392,856
  6. Step 6: Final answer
    x = 881,965.09

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.