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Finding the Third Proportional to 206,461.13 and 454,830.19

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Solution

The third proportional to 206,461.13 and 454,830.19 is: 1,001,982.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,461.13 : 454,830.19 = 454,830.19 : x
  2. Step 2: Convert to fraction form
    206,461.13/454,830.19 = 454,830.19/x
  3. Step 3: Cross multiply
    206,461.13x = 454,830.19 × 454,830.19
  4. Step 4: Simplify right side
    206,461.13x = 206,870,499,461.29
  5. Step 5: Solve for x
    x = 206,870,499,461.29/206,461.13
  6. Step 6: Final answer
    x = 1,001,982.82

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