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Finding the Third Proportional to 204,065.89 and 432,455.76

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Solution

The third proportional to 204,065.89 and 432,455.76 is: 916,458.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    204,065.89 : 432,455.76 = 432,455.76 : x
  2. Step 2: Convert to fraction form
    204,065.89/432,455.76 = 432,455.76/x
  3. Step 3: Cross multiply
    204,065.89x = 432,455.76 × 432,455.76
  4. Step 4: Simplify right side
    204,065.89x = 187,017,981,620.54
  5. Step 5: Solve for x
    x = 187,017,981,620.54/204,065.89
  6. Step 6: Final answer
    x = 916,458.78

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.