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Finding the Third Proportional to 441,524 and 699,438

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Solution

The third proportional to 441,524 and 699,438 is: 1,108,011.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    441,524 : 699,438 = 699,438 : x
  2. Step 2: Convert to fraction form
    441,524/699,438 = 699,438/x
  3. Step 3: Cross multiply
    441,524x = 699,438 × 699,438
  4. Step 4: Simplify right side
    441,524x = 489,213,515,844
  5. Step 5: Solve for x
    x = 489,213,515,844/441,524
  6. Step 6: Final answer
    x = 1,108,011.15

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.