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Finding the Third Proportional to 374,837.25 and 548,197.38

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Solution

The third proportional to 374,837.25 and 548,197.38 is: 801,735.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    374,837.25 : 548,197.38 = 548,197.38 : x
  2. Step 2: Convert to fraction form
    374,837.25/548,197.38 = 548,197.38/x
  3. Step 3: Cross multiply
    374,837.25x = 548,197.38 × 548,197.38
  4. Step 4: Simplify right side
    374,837.25x = 300,520,361,956.89
  5. Step 5: Solve for x
    x = 300,520,361,956.89/374,837.25
  6. Step 6: Final answer
    x = 801,735.59

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.