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Finding the Third Proportional to 224,113 and 485,561

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Solution

The third proportional to 224,113 and 485,561 is: 1,052,011.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    224,113 : 485,561 = 485,561 : x
  2. Step 2: Convert to fraction form
    224,113/485,561 = 485,561/x
  3. Step 3: Cross multiply
    224,113x = 485,561 × 485,561
  4. Step 4: Simplify right side
    224,113x = 235,769,484,721
  5. Step 5: Solve for x
    x = 235,769,484,721/224,113
  6. Step 6: Final answer
    x = 1,052,011.64

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.