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Finding the Third Proportional to 225,054 and 488,744

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Solution

The third proportional to 225,054 and 488,744 is: 1,061,392.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    225,054 : 488,744 = 488,744 : x
  2. Step 2: Convert to fraction form
    225,054/488,744 = 488,744/x
  3. Step 3: Cross multiply
    225,054x = 488,744 × 488,744
  4. Step 4: Simplify right side
    225,054x = 238,870,697,536
  5. Step 5: Solve for x
    x = 238,870,697,536/225,054
  6. Step 6: Final answer
    x = 1,061,392.81

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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.