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Finding the Third Proportional to 226,338 and 491,613

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Solution

The third proportional to 226,338 and 491,613 is: 1,067,798.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    226,338 : 491,613 = 491,613 : x
  2. Step 2: Convert to fraction form
    226,338/491,613 = 491,613/x
  3. Step 3: Cross multiply
    226,338x = 491,613 × 491,613
  4. Step 4: Simplify right side
    226,338x = 241,683,341,769
  5. Step 5: Solve for x
    x = 241,683,341,769/226,338
  6. Step 6: Final answer
    x = 1,067,798.34

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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.