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Finding the Third Proportional to 301,252 and 466,170

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Solution

The third proportional to 301,252 and 466,170 is: 721,371.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    301,252 : 466,170 = 466,170 : x
  2. Step 2: Convert to fraction form
    301,252/466,170 = 466,170/x
  3. Step 3: Cross multiply
    301,252x = 466,170 × 466,170
  4. Step 4: Simplify right side
    301,252x = 217,314,468,900
  5. Step 5: Solve for x
    x = 217,314,468,900/301,252
  6. Step 6: Final answer
    x = 721,371.04

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.