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Finding the Third Proportional to 225,059 and 488,758

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Solution

The third proportional to 225,059 and 488,758 is: 1,061,430.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    225,059 : 488,758 = 488,758 : x
  2. Step 2: Convert to fraction form
    225,059/488,758 = 488,758/x
  3. Step 3: Cross multiply
    225,059x = 488,758 × 488,758
  4. Step 4: Simplify right side
    225,059x = 238,884,382,564
  5. Step 5: Solve for x
    x = 238,884,382,564/225,059
  6. Step 6: Final answer
    x = 1,061,430.04

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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.