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Finding the Third Proportional to 225,063 and 488,767

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Solution

The third proportional to 225,063 and 488,767 is: 1,061,450.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    225,063 : 488,767 = 488,767 : x
  2. Step 2: Convert to fraction form
    225,063/488,767 = 488,767/x
  3. Step 3: Cross multiply
    225,063x = 488,767 × 488,767
  4. Step 4: Simplify right side
    225,063x = 238,893,180,289
  5. Step 5: Solve for x
    x = 238,893,180,289/225,063
  6. Step 6: Final answer
    x = 1,061,450.26

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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.