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Finding the Third Proportional to 391,666 and 586,014

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Solution

The third proportional to 391,666 and 586,014 is: 876,799.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    391,666 : 586,014 = 586,014 : x
  2. Step 2: Convert to fraction form
    391,666/586,014 = 586,014/x
  3. Step 3: Cross multiply
    391,666x = 586,014 × 586,014
  4. Step 4: Simplify right side
    391,666x = 343,412,408,196
  5. Step 5: Solve for x
    x = 343,412,408,196/391,666
  6. Step 6: Final answer
    x = 876,799.13

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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.