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Finding the Third Proportional to 225,894 and 491,142

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Solution

The third proportional to 225,894 and 491,142 is: 1,067,848.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    225,894 : 491,142 = 491,142 : x
  2. Step 2: Convert to fraction form
    225,894/491,142 = 491,142/x
  3. Step 3: Cross multiply
    225,894x = 491,142 × 491,142
  4. Step 4: Simplify right side
    225,894x = 241,220,464,164
  5. Step 5: Solve for x
    x = 241,220,464,164/225,894
  6. Step 6: Final answer
    x = 1,067,848.04

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.