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Finding the Third Proportional to 467,775 and 705,873

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Solution

The third proportional to 467,775 and 705,873 is: 1,065,163.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    467,775 : 705,873 = 705,873 : x
  2. Step 2: Convert to fraction form
    467,775/705,873 = 705,873/x
  3. Step 3: Cross multiply
    467,775x = 705,873 × 705,873
  4. Step 4: Simplify right side
    467,775x = 498,256,692,129
  5. Step 5: Solve for x
    x = 498,256,692,129/467,775
  6. Step 6: Final answer
    x = 1,065,163.15

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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.