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Finding the Third Proportional to 271,948 and 391,686

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Solution

The third proportional to 271,948 and 391,686 is: 564,144.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    271,948 : 391,686 = 391,686 : x
  2. Step 2: Convert to fraction form
    271,948/391,686 = 391,686/x
  3. Step 3: Cross multiply
    271,948x = 391,686 × 391,686
  4. Step 4: Simplify right side
    271,948x = 153,417,922,596
  5. Step 5: Solve for x
    x = 153,417,922,596/271,948
  6. Step 6: Final answer
    x = 564,144.33

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.