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Finding the Third Proportional to 226,345 and 491,630

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Solution

The third proportional to 226,345 and 491,630 is: 1,067,839.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    226,345 : 491,630 = 491,630 : x
  2. Step 2: Convert to fraction form
    226,345/491,630 = 491,630/x
  3. Step 3: Cross multiply
    226,345x = 491,630 × 491,630
  4. Step 4: Simplify right side
    226,345x = 241,700,056,900
  5. Step 5: Solve for x
    x = 241,700,056,900/226,345
  6. Step 6: Final answer
    x = 1,067,839.17

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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.