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Finding the Third Proportional to 376,734 and 527,997

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Solution

The third proportional to 376,734 and 527,997 is: 739,993.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    376,734 : 527,997 = 527,997 : x
  2. Step 2: Convert to fraction form
    376,734/527,997 = 527,997/x
  3. Step 3: Cross multiply
    376,734x = 527,997 × 527,997
  4. Step 4: Simplify right side
    376,734x = 278,780,832,009
  5. Step 5: Solve for x
    x = 278,780,832,009/376,734
  6. Step 6: Final answer
    x = 739,993.82

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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.