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Finding the Third Proportional to 225,048.38 and 488,233.13

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Solution

The third proportional to 225,048.38 and 488,233.13 is: 1,059,201.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    225,048.38 : 488,233.13 = 488,233.13 : x
  2. Step 2: Convert to fraction form
    225,048.38/488,233.13 = 488,233.13/x
  3. Step 3: Cross multiply
    225,048.38x = 488,233.13 × 488,233.13
  4. Step 4: Simplify right side
    225,048.38x = 238,371,584,347.27
  5. Step 5: Solve for x
    x = 238,371,584,347.27/225,048.38
  6. Step 6: Final answer
    x = 1,059,201.54

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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.