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Finding the Third Proportional to 391,851 and 588,867

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Solution

The third proportional to 391,851 and 588,867 is: 884,939.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    391,851 : 588,867 = 588,867 : x
  2. Step 2: Convert to fraction form
    391,851/588,867 = 588,867/x
  3. Step 3: Cross multiply
    391,851x = 588,867 × 588,867
  4. Step 4: Simplify right side
    391,851x = 346,764,343,689
  5. Step 5: Solve for x
    x = 346,764,343,689/391,851
  6. Step 6: Final answer
    x = 884,939.28

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.