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Finding the Third Proportional to 206,461.69 and 454,830.75

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Solution

The third proportional to 206,461.69 and 454,830.75 is: 1,001,982.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,461.69 : 454,830.75 = 454,830.75 : x
  2. Step 2: Convert to fraction form
    206,461.69/454,830.75 = 454,830.75/x
  3. Step 3: Cross multiply
    206,461.69x = 454,830.75 × 454,830.75
  4. Step 4: Simplify right side
    206,461.69x = 206,871,011,145.56
  5. Step 5: Solve for x
    x = 206,871,011,145.56/206,461.69
  6. Step 6: Final answer
    x = 1,001,982.56

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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.