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Finding the Third Proportional to 206,794.13 and 455,491.13

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Solution

The third proportional to 206,794.13 and 455,491.13 is: 1,003,278.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,794.13 : 455,491.13 = 455,491.13 : x
  2. Step 2: Convert to fraction form
    206,794.13/455,491.13 = 455,491.13/x
  3. Step 3: Cross multiply
    206,794.13x = 455,491.13 × 455,491.13
  4. Step 4: Simplify right side
    206,794.13x = 207,472,164,953.77
  5. Step 5: Solve for x
    x = 207,472,164,953.77/206,794.13
  6. Step 6: Final answer
    x = 1,003,278.82

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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.