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Finding the Third Proportional to 271,814 and 391,521

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Solution

The third proportional to 271,814 and 391,521 is: 563,947.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    271,814 : 391,521 = 391,521 : x
  2. Step 2: Convert to fraction form
    271,814/391,521 = 391,521/x
  3. Step 3: Cross multiply
    271,814x = 391,521 × 391,521
  4. Step 4: Simplify right side
    271,814x = 153,288,693,441
  5. Step 5: Solve for x
    x = 153,288,693,441/271,814
  6. Step 6: Final answer
    x = 563,947.01

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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.