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Finding the Third Proportional to 391,849 and 586,253

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Solution

The third proportional to 391,849 and 586,253 is: 877,104.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    391,849 : 586,253 = 586,253 : x
  2. Step 2: Convert to fraction form
    391,849/586,253 = 586,253/x
  3. Step 3: Cross multiply
    391,849x = 586,253 × 586,253
  4. Step 4: Simplify right side
    391,849x = 343,692,580,009
  5. Step 5: Solve for x
    x = 343,692,580,009/391,849
  6. Step 6: Final answer
    x = 877,104.65

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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.