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Finding the Third Proportional to 301,474 and 662,132

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Solution

The third proportional to 301,474 and 662,132 is: 1,454,250.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    301,474 : 662,132 = 662,132 : x
  2. Step 2: Convert to fraction form
    301,474/662,132 = 662,132/x
  3. Step 3: Cross multiply
    301,474x = 662,132 × 662,132
  4. Step 4: Simplify right side
    301,474x = 438,418,785,424
  5. Step 5: Solve for x
    x = 438,418,785,424/301,474
  6. Step 6: Final answer
    x = 1,454,250.73

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.