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Finding the Third Proportional to 316,401 and 682,524

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Solution

The third proportional to 316,401 and 682,524 is: 1,472,305.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    316,401 : 682,524 = 682,524 : x
  2. Step 2: Convert to fraction form
    316,401/682,524 = 682,524/x
  3. Step 3: Cross multiply
    316,401x = 682,524 × 682,524
  4. Step 4: Simplify right side
    316,401x = 465,839,010,576
  5. Step 5: Solve for x
    x = 465,839,010,576/316,401
  6. Step 6: Final answer
    x = 1,472,305.75

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.