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Finding the Third Proportional to 305,674 and 664,052

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Solution

The third proportional to 305,674 and 664,052 is: 1,442,599.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    305,674 : 664,052 = 664,052 : x
  2. Step 2: Convert to fraction form
    305,674/664,052 = 664,052/x
  3. Step 3: Cross multiply
    305,674x = 664,052 × 664,052
  4. Step 4: Simplify right side
    305,674x = 440,965,058,704
  5. Step 5: Solve for x
    x = 440,965,058,704/305,674
  6. Step 6: Final answer
    x = 1,442,599.17

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.