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Finding the Third Proportional to 313,910 and 667,024

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Solution

The third proportional to 313,910 and 667,024 is: 1,417,352.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    313,910 : 667,024 = 667,024 : x
  2. Step 2: Convert to fraction form
    313,910/667,024 = 667,024/x
  3. Step 3: Cross multiply
    313,910x = 667,024 × 667,024
  4. Step 4: Simplify right side
    313,910x = 444,921,016,576
  5. Step 5: Solve for x
    x = 444,921,016,576/313,910
  6. Step 6: Final answer
    x = 1,417,352.16

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.