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Finding the Third Proportional to 276,014 and 563,638

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Solution

The third proportional to 276,014 and 563,638 is: 1,150,984.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    276,014 : 563,638 = 563,638 : x
  2. Step 2: Convert to fraction form
    276,014/563,638 = 563,638/x
  3. Step 3: Cross multiply
    276,014x = 563,638 × 563,638
  4. Step 4: Simplify right side
    276,014x = 317,687,795,044
  5. Step 5: Solve for x
    x = 317,687,795,044/276,014
  6. Step 6: Final answer
    x = 1,150,984.35

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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.