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Finding the Third Proportional to 292,799 and 639,142

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Solution

The third proportional to 292,799 and 639,142 is: 1,395,163.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    292,799 : 639,142 = 639,142 : x
  2. Step 2: Convert to fraction form
    292,799/639,142 = 639,142/x
  3. Step 3: Cross multiply
    292,799x = 639,142 × 639,142
  4. Step 4: Simplify right side
    292,799x = 408,502,496,164
  5. Step 5: Solve for x
    x = 408,502,496,164/292,799
  6. Step 6: Final answer
    x = 1,395,163.56

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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.