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Finding the Third Proportional to 391,841 and 586,243

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Solution

The third proportional to 391,841 and 586,243 is: 877,092.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    391,841 : 586,243 = 586,243 : x
  2. Step 2: Convert to fraction form
    391,841/586,243 = 586,243/x
  3. Step 3: Cross multiply
    391,841x = 586,243 × 586,243
  4. Step 4: Simplify right side
    391,841x = 343,680,855,049
  5. Step 5: Solve for x
    x = 343,680,855,049/391,841
  6. Step 6: Final answer
    x = 877,092.63

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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.