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Finding the Third Proportional to 206,441 and 453,480

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Solution

The third proportional to 206,441 and 453,480 is: 996,139.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,441 : 453,480 = 453,480 : x
  2. Step 2: Convert to fraction form
    206,441/453,480 = 453,480/x
  3. Step 3: Cross multiply
    206,441x = 453,480 × 453,480
  4. Step 4: Simplify right side
    206,441x = 205,644,110,400
  5. Step 5: Solve for x
    x = 205,644,110,400/206,441
  6. Step 6: Final answer
    x = 996,139.87

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.