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Finding the Third Proportional to 292,870 and 639,443

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Solution

The third proportional to 292,870 and 639,443 is: 1,396,139.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    292,870 : 639,443 = 639,443 : x
  2. Step 2: Convert to fraction form
    292,870/639,443 = 639,443/x
  3. Step 3: Cross multiply
    292,870x = 639,443 × 639,443
  4. Step 4: Simplify right side
    292,870x = 408,887,350,249
  5. Step 5: Solve for x
    x = 408,887,350,249/292,870
  6. Step 6: Final answer
    x = 1,396,139.41

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.