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Finding the Third Proportional to 388,919 and 844,231

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Solution

The third proportional to 388,919 and 844,231 is: 1,832,582.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    388,919 : 844,231 = 844,231 : x
  2. Step 2: Convert to fraction form
    388,919/844,231 = 844,231/x
  3. Step 3: Cross multiply
    388,919x = 844,231 × 844,231
  4. Step 4: Simplify right side
    388,919x = 712,725,981,361
  5. Step 5: Solve for x
    x = 712,725,981,361/388,919
  6. Step 6: Final answer
    x = 1,832,582.06

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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.