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Finding the Third Proportional to 276,650 and 563,443

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Solution

The third proportional to 276,650 and 563,443 is: 1,147,543.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    276,650 : 563,443 = 563,443 : x
  2. Step 2: Convert to fraction form
    276,650/563,443 = 563,443/x
  3. Step 3: Cross multiply
    276,650x = 563,443 × 563,443
  4. Step 4: Simplify right side
    276,650x = 317,468,014,249
  5. Step 5: Solve for x
    x = 317,468,014,249/276,650
  6. Step 6: Final answer
    x = 1,147,543.88

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.