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Finding the Third Proportional to 467,751 and 705,857

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Solution

The third proportional to 467,751 and 705,857 is: 1,065,169.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    467,751 : 705,857 = 705,857 : x
  2. Step 2: Convert to fraction form
    467,751/705,857 = 705,857/x
  3. Step 3: Cross multiply
    467,751x = 705,857 × 705,857
  4. Step 4: Simplify right side
    467,751x = 498,234,104,449
  5. Step 5: Solve for x
    x = 498,234,104,449/467,751
  6. Step 6: Final answer
    x = 1,065,169.51

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.