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Finding the Third Proportional to 226,329.75 and 491,598

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Solution

The third proportional to 226,329.75 and 491,598 is: 1,067,772.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    226,329.75 : 491,598 = 491,598 : x
  2. Step 2: Convert to fraction form
    226,329.75/491,598 = 491,598/x
  3. Step 3: Cross multiply
    226,329.75x = 491,598 × 491,598
  4. Step 4: Simplify right side
    226,329.75x = 241,668,593,604
  5. Step 5: Solve for x
    x = 241,668,593,604/226,329.75
  6. Step 6: Final answer
    x = 1,067,772.11

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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.