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Finding the Third Proportional to 225,972 and 491,265

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Solution

The third proportional to 225,972 and 491,265 is: 1,068,014.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    225,972 : 491,265 = 491,265 : x
  2. Step 2: Convert to fraction form
    225,972/491,265 = 491,265/x
  3. Step 3: Cross multiply
    225,972x = 491,265 × 491,265
  4. Step 4: Simplify right side
    225,972x = 241,341,300,225
  5. Step 5: Solve for x
    x = 241,341,300,225/225,972
  6. Step 6: Final answer
    x = 1,068,014.18

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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.