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Finding the Third Proportional to 313,458 and 674,052

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Solution

The third proportional to 313,458 and 674,052 is: 1,449,464.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    313,458 : 674,052 = 674,052 : x
  2. Step 2: Convert to fraction form
    313,458/674,052 = 674,052/x
  3. Step 3: Cross multiply
    313,458x = 674,052 × 674,052
  4. Step 4: Simplify right side
    313,458x = 454,346,098,704
  5. Step 5: Solve for x
    x = 454,346,098,704/313,458
  6. Step 6: Final answer
    x = 1,449,464.04

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.