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Finding the Third Proportional to 300,704 and 663,616

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Solution

The third proportional to 300,704 and 663,616 is: 1,464,517.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    300,704 : 663,616 = 663,616 : x
  2. Step 2: Convert to fraction form
    300,704/663,616 = 663,616/x
  3. Step 3: Cross multiply
    300,704x = 663,616 × 663,616
  4. Step 4: Simplify right side
    300,704x = 440,386,195,456
  5. Step 5: Solve for x
    x = 440,386,195,456/300,704
  6. Step 6: Final answer
    x = 1,464,517.25

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Why These Related Problems?

These problems maintain the same ratio (2.21) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.