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Finding the Third Proportional to 229,105 and 479,074

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Solution

The third proportional to 229,105 and 479,074 is: 1,001,776.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    229,105 : 479,074 = 479,074 : x
  2. Step 2: Convert to fraction form
    229,105/479,074 = 479,074/x
  3. Step 3: Cross multiply
    229,105x = 479,074 × 479,074
  4. Step 4: Simplify right side
    229,105x = 229,511,897,476
  5. Step 5: Solve for x
    x = 229,511,897,476/229,105
  6. Step 6: Final answer
    x = 1,001,776.03

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.