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Finding the Third Proportional to 313,924 and 667,052

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Solution

The third proportional to 313,924 and 667,052 is: 1,417,407.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    313,924 : 667,052 = 667,052 : x
  2. Step 2: Convert to fraction form
    313,924/667,052 = 667,052/x
  3. Step 3: Cross multiply
    313,924x = 667,052 × 667,052
  4. Step 4: Simplify right side
    313,924x = 444,958,370,704
  5. Step 5: Solve for x
    x = 444,958,370,704/313,924
  6. Step 6: Final answer
    x = 1,417,407.94

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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.