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Finding the Third Proportional to 380,369.25 and 588,660.75

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Solution

The third proportional to 380,369.25 and 588,660.75 is: 911,013.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    380,369.25 : 588,660.75 = 588,660.75 : x
  2. Step 2: Convert to fraction form
    380,369.25/588,660.75 = 588,660.75/x
  3. Step 3: Cross multiply
    380,369.25x = 588,660.75 × 588,660.75
  4. Step 4: Simplify right side
    380,369.25x = 346,521,478,590.56
  5. Step 5: Solve for x
    x = 346,521,478,590.56/380,369.25
  6. Step 6: Final answer
    x = 911,013.39

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.