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Finding the Third Proportional to 377,265.75 and 588,861.56

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Solution

The third proportional to 377,265.75 and 588,861.56 is: 919,134.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    377,265.75 : 588,861.56 = 588,861.56 : x
  2. Step 2: Convert to fraction form
    377,265.75/588,861.56 = 588,861.56/x
  3. Step 3: Cross multiply
    377,265.75x = 588,861.56 × 588,861.56
  4. Step 4: Simplify right side
    377,265.75x = 346,757,939,789.94
  5. Step 5: Solve for x
    x = 346,757,939,789.94/377,265.75
  6. Step 6: Final answer
    x = 919,134.43

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.