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Finding the Third Proportional to 307,002 and 663,941

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Solution

The third proportional to 307,002 and 663,941 is: 1,435,878.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    307,002 : 663,941 = 663,941 : x
  2. Step 2: Convert to fraction form
    307,002/663,941 = 663,941/x
  3. Step 3: Cross multiply
    307,002x = 663,941 × 663,941
  4. Step 4: Simplify right side
    307,002x = 440,817,651,481
  5. Step 5: Solve for x
    x = 440,817,651,481/307,002
  6. Step 6: Final answer
    x = 1,435,878.76

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.