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Finding the Third Proportional to 380,192.75 and 588,488.75

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Solution

The third proportional to 380,192.75 and 588,488.75 is: 910,903.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    380,192.75 : 588,488.75 = 588,488.75 : x
  2. Step 2: Convert to fraction form
    380,192.75/588,488.75 = 588,488.75/x
  3. Step 3: Cross multiply
    380,192.75x = 588,488.75 × 588,488.75
  4. Step 4: Simplify right side
    380,192.75x = 346,319,008,876.56
  5. Step 5: Solve for x
    x = 346,319,008,876.56/380,192.75
  6. Step 6: Final answer
    x = 910,903.77

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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.