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Finding the Third Proportional to 391,722 and 586,098

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Solution

The third proportional to 391,722 and 586,098 is: 876,925.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    391,722 : 586,098 = 586,098 : x
  2. Step 2: Convert to fraction form
    391,722/586,098 = 586,098/x
  3. Step 3: Cross multiply
    391,722x = 586,098 × 586,098
  4. Step 4: Simplify right side
    391,722x = 343,510,865,604
  5. Step 5: Solve for x
    x = 343,510,865,604/391,722
  6. Step 6: Final answer
    x = 876,925.13

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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.