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Finding the Third Proportional to 361,917 and 532,338

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Solution

The third proportional to 361,917 and 532,338 is: 783,007.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    361,917 : 532,338 = 532,338 : x
  2. Step 2: Convert to fraction form
    361,917/532,338 = 532,338/x
  3. Step 3: Cross multiply
    361,917x = 532,338 × 532,338
  4. Step 4: Simplify right side
    361,917x = 283,383,746,244
  5. Step 5: Solve for x
    x = 283,383,746,244/361,917
  6. Step 6: Final answer
    x = 783,007.56

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.