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Finding the Third Proportional to 391,839 and 586,239.75

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Solution

The third proportional to 391,839 and 586,239.75 is: 877,087.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    391,839 : 586,239.75 = 586,239.75 : x
  2. Step 2: Convert to fraction form
    391,839/586,239.75 = 586,239.75/x
  3. Step 3: Cross multiply
    391,839x = 586,239.75 × 586,239.75
  4. Step 4: Simplify right side
    391,839x = 343,677,044,480.06
  5. Step 5: Solve for x
    x = 343,677,044,480.06/391,839
  6. Step 6: Final answer
    x = 877,087.39

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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.