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Finding the Third Proportional to 380,187.75 and 588,480.75

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Solution

The third proportional to 380,187.75 and 588,480.75 is: 910,890.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    380,187.75 : 588,480.75 = 588,480.75 : x
  2. Step 2: Convert to fraction form
    380,187.75/588,480.75 = 588,480.75/x
  3. Step 3: Cross multiply
    380,187.75x = 588,480.75 × 588,480.75
  4. Step 4: Simplify right side
    380,187.75x = 346,309,593,120.56
  5. Step 5: Solve for x
    x = 346,309,593,120.56/380,187.75
  6. Step 6: Final answer
    x = 910,890.98

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Why These Related Problems?

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