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Finding the Third Proportional to 229,344.38 and 488,213.26

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Solution

The third proportional to 229,344.38 and 488,213.26 is: 1,039,276.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    229,344.38 : 488,213.26 = 488,213.26 : x
  2. Step 2: Convert to fraction form
    229,344.38/488,213.26 = 488,213.26/x
  3. Step 3: Cross multiply
    229,344.38x = 488,213.26 × 488,213.26
  4. Step 4: Simplify right side
    229,344.38x = 238,352,188,918.07
  5. Step 5: Solve for x
    x = 238,352,188,918.07/229,344.38
  6. Step 6: Final answer
    x = 1,039,276.34

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.