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Finding the Third Proportional to 225,930 and 482,884

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Solution

The third proportional to 225,930 and 482,884 is: 1,032,076.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    225,930 : 482,884 = 482,884 : x
  2. Step 2: Convert to fraction form
    225,930/482,884 = 482,884/x
  3. Step 3: Cross multiply
    225,930x = 482,884 × 482,884
  4. Step 4: Simplify right side
    225,930x = 233,176,957,456
  5. Step 5: Solve for x
    x = 233,176,957,456/225,930
  6. Step 6: Final answer
    x = 1,032,076.12

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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.