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Finding the Third Proportional to 225,640 and 482,384

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Solution

The third proportional to 225,640 and 482,384 is: 1,031,263.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    225,640 : 482,384 = 482,384 : x
  2. Step 2: Convert to fraction form
    225,640/482,384 = 482,384/x
  3. Step 3: Cross multiply
    225,640x = 482,384 × 482,384
  4. Step 4: Simplify right side
    225,640x = 232,694,323,456
  5. Step 5: Solve for x
    x = 232,694,323,456/225,640
  6. Step 6: Final answer
    x = 1,031,263.62

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.