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Finding the Third Proportional to 363,840.75 and 521,003.25

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Solution

The third proportional to 363,840.75 and 521,003.25 is: 746,052.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    363,840.75 : 521,003.25 = 521,003.25 : x
  2. Step 2: Convert to fraction form
    363,840.75/521,003.25 = 521,003.25/x
  3. Step 3: Cross multiply
    363,840.75x = 521,003.25 × 521,003.25
  4. Step 4: Simplify right side
    363,840.75x = 271,444,386,510.56
  5. Step 5: Solve for x
    x = 271,444,386,510.56/363,840.75
  6. Step 6: Final answer
    x = 746,052.73

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.