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Finding the Third Proportional to 376,771 and 527,011.50

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Solution

The third proportional to 376,771 and 527,011.50 is: 737,161.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    376,771 : 527,011.50 = 527,011.50 : x
  2. Step 2: Convert to fraction form
    376,771/527,011.50 = 527,011.50/x
  3. Step 3: Cross multiply
    376,771x = 527,011.50 × 527,011.50
  4. Step 4: Simplify right side
    376,771x = 277,741,121,132.25
  5. Step 5: Solve for x
    x = 277,741,121,132.25/376,771
  6. Step 6: Final answer
    x = 737,161.62

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.