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Finding the Third Proportional to 325,437.75 and 489,098.25

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Solution

The third proportional to 325,437.75 and 489,098.25 is: 735,062.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    325,437.75 : 489,098.25 = 489,098.25 : x
  2. Step 2: Convert to fraction form
    325,437.75/489,098.25 = 489,098.25/x
  3. Step 3: Cross multiply
    325,437.75x = 489,098.25 × 489,098.25
  4. Step 4: Simplify right side
    325,437.75x = 239,217,098,153.06
  5. Step 5: Solve for x
    x = 239,217,098,153.06/325,437.75
  6. Step 6: Final answer
    x = 735,062.54

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.