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Finding the Third Proportional to 414,910 and 567,832

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Solution

The third proportional to 414,910 and 567,832 is: 777,115.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    414,910 : 567,832 = 567,832 : x
  2. Step 2: Convert to fraction form
    414,910/567,832 = 567,832/x
  3. Step 3: Cross multiply
    414,910x = 567,832 × 567,832
  4. Step 4: Simplify right side
    414,910x = 322,433,180,224
  5. Step 5: Solve for x
    x = 322,433,180,224/414,910
  6. Step 6: Final answer
    x = 777,115.95

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.