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Finding the Third Proportional to 392,560 and 851,504

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Solution

The third proportional to 392,560 and 851,504 is: 1,847,001.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    392,560 : 851,504 = 851,504 : x
  2. Step 2: Convert to fraction form
    392,560/851,504 = 851,504/x
  3. Step 3: Cross multiply
    392,560x = 851,504 × 851,504
  4. Step 4: Simplify right side
    392,560x = 725,059,062,016
  5. Step 5: Solve for x
    x = 725,059,062,016/392,560
  6. Step 6: Final answer
    x = 1,847,001.89

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.