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Finding the Third Proportional to 503,874 and 704,451

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Solution

The third proportional to 503,874 and 704,451 is: 984,871.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    503,874 : 704,451 = 704,451 : x
  2. Step 2: Convert to fraction form
    503,874/704,451 = 704,451/x
  3. Step 3: Cross multiply
    503,874x = 704,451 × 704,451
  4. Step 4: Simplify right side
    503,874x = 496,251,211,401
  5. Step 5: Solve for x
    x = 496,251,211,401/503,874
  6. Step 6: Final answer
    x = 984,871.64

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.