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Finding the Third Proportional to 300,334.50 and 652,941

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Solution

The third proportional to 300,334.50 and 652,941 is: 1,419,523.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    300,334.50 : 652,941 = 652,941 : x
  2. Step 2: Convert to fraction form
    300,334.50/652,941 = 652,941/x
  3. Step 3: Cross multiply
    300,334.50x = 652,941 × 652,941
  4. Step 4: Simplify right side
    300,334.50x = 426,331,949,481
  5. Step 5: Solve for x
    x = 426,331,949,481/300,334.50
  6. Step 6: Final answer
    x = 1,419,523.73

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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.