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Finding the Third Proportional to 392,882 and 857,731

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Solution

The third proportional to 392,882 and 857,731 is: 1,872,578.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    392,882 : 857,731 = 857,731 : x
  2. Step 2: Convert to fraction form
    392,882/857,731 = 857,731/x
  3. Step 3: Cross multiply
    392,882x = 857,731 × 857,731
  4. Step 4: Simplify right side
    392,882x = 735,702,468,361
  5. Step 5: Solve for x
    x = 735,702,468,361/392,882
  6. Step 6: Final answer
    x = 1,872,578.71

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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.