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Finding the Third Proportional to 365,593.50 and 588,120.75

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Solution

The third proportional to 365,593.50 and 588,120.75 is: 946,094.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    365,593.50 : 588,120.75 = 588,120.75 : x
  2. Step 2: Convert to fraction form
    365,593.50/588,120.75 = 588,120.75/x
  3. Step 3: Cross multiply
    365,593.50x = 588,120.75 × 588,120.75
  4. Step 4: Simplify right side
    365,593.50x = 345,886,016,580.56
  5. Step 5: Solve for x
    x = 345,886,016,580.56/365,593.50
  6. Step 6: Final answer
    x = 946,094.55

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Why These Related Problems?

These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.