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Finding the Third Proportional to 366,869.25 and 489,204.56

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Solution

The third proportional to 366,869.25 and 489,204.56 is: 652,333.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    366,869.25 : 489,204.56 = 489,204.56 : x
  2. Step 2: Convert to fraction form
    366,869.25/489,204.56 = 489,204.56/x
  3. Step 3: Cross multiply
    366,869.25x = 489,204.56 × 489,204.56
  4. Step 4: Simplify right side
    366,869.25x = 239,321,103,970.82
  5. Step 5: Solve for x
    x = 239,321,103,970.82/366,869.25
  6. Step 6: Final answer
    x = 652,333.51

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Why These Related Problems?

These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.