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Finding the Third Proportional to 219,067 and 466,382

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Solution

The third proportional to 219,067 and 466,382 is: 992,902.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    219,067 : 466,382 = 466,382 : x
  2. Step 2: Convert to fraction form
    219,067/466,382 = 466,382/x
  3. Step 3: Cross multiply
    219,067x = 466,382 × 466,382
  4. Step 4: Simplify right side
    219,067x = 217,512,169,924
  5. Step 5: Solve for x
    x = 217,512,169,924/219,067
  6. Step 6: Final answer
    x = 992,902.49

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.