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Finding the Third Proportional to 226,540.13 and 487,794.38

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Solution

The third proportional to 226,540.13 and 487,794.38 is: 1,050,336.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    226,540.13 : 487,794.38 = 487,794.38 : x
  2. Step 2: Convert to fraction form
    226,540.13/487,794.38 = 487,794.38/x
  3. Step 3: Cross multiply
    226,540.13x = 487,794.38 × 487,794.38
  4. Step 4: Simplify right side
    226,540.13x = 237,943,352,281.64
  5. Step 5: Solve for x
    x = 237,943,352,281.64/226,540.13
  6. Step 6: Final answer
    x = 1,050,336.46

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.