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Finding the Third Proportional to 225,048 and 488,733

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Solution

The third proportional to 225,048 and 488,733 is: 1,061,373.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    225,048 : 488,733 = 488,733 : x
  2. Step 2: Convert to fraction form
    225,048/488,733 = 488,733/x
  3. Step 3: Cross multiply
    225,048x = 488,733 × 488,733
  4. Step 4: Simplify right side
    225,048x = 238,859,945,289
  5. Step 5: Solve for x
    x = 238,859,945,289/225,048
  6. Step 6: Final answer
    x = 1,061,373.33

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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.