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Finding the Third Proportional to 392,550 and 851,484

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Solution

The third proportional to 392,550 and 851,484 is: 1,846,962.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    392,550 : 851,484 = 851,484 : x
  2. Step 2: Convert to fraction form
    392,550/851,484 = 851,484/x
  3. Step 3: Cross multiply
    392,550x = 851,484 × 851,484
  4. Step 4: Simplify right side
    392,550x = 725,025,002,256
  5. Step 5: Solve for x
    x = 725,025,002,256/392,550
  6. Step 6: Final answer
    x = 1,846,962.18

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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.