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Finding the Third Proportional to 378,924.75 and 588,343.50

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Solution

The third proportional to 378,924.75 and 588,343.50 is: 913,500.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    378,924.75 : 588,343.50 = 588,343.50 : x
  2. Step 2: Convert to fraction form
    378,924.75/588,343.50 = 588,343.50/x
  3. Step 3: Cross multiply
    378,924.75x = 588,343.50 × 588,343.50
  4. Step 4: Simplify right side
    378,924.75x = 346,148,073,992.25
  5. Step 5: Solve for x
    x = 346,148,073,992.25/378,924.75
  6. Step 6: Final answer
    x = 913,500.83

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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.