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Finding the Third Proportional to 441,534 and 699,451

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Solution

The third proportional to 441,534 and 699,451 is: 1,108,027.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    441,534 : 699,451 = 699,451 : x
  2. Step 2: Convert to fraction form
    441,534/699,451 = 699,451/x
  3. Step 3: Cross multiply
    441,534x = 699,451 × 699,451
  4. Step 4: Simplify right side
    441,534x = 489,231,701,401
  5. Step 5: Solve for x
    x = 489,231,701,401/441,534
  6. Step 6: Final answer
    x = 1,108,027.24

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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.