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Finding the Third Proportional to 305,096 and 451,413

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Solution

The third proportional to 305,096 and 451,413 is: 667,900.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    305,096 : 451,413 = 451,413 : x
  2. Step 2: Convert to fraction form
    305,096/451,413 = 451,413/x
  3. Step 3: Cross multiply
    305,096x = 451,413 × 451,413
  4. Step 4: Simplify right side
    305,096x = 203,773,696,569
  5. Step 5: Solve for x
    x = 203,773,696,569/305,096
  6. Step 6: Final answer
    x = 667,900.26

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.