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Finding the Third Proportional to 271,404 and 578,877

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Solution

The third proportional to 271,404 and 578,877 is: 1,234,685.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    271,404 : 578,877 = 578,877 : x
  2. Step 2: Convert to fraction form
    271,404/578,877 = 578,877/x
  3. Step 3: Cross multiply
    271,404x = 578,877 × 578,877
  4. Step 4: Simplify right side
    271,404x = 335,098,581,129
  5. Step 5: Solve for x
    x = 335,098,581,129/271,404
  6. Step 6: Final answer
    x = 1,234,685.49

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.