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Finding the Third Proportional to 468,067 and 706,233

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Solution

The third proportional to 468,067 and 706,233 is: 1,065,584.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    468,067 : 706,233 = 706,233 : x
  2. Step 2: Convert to fraction form
    468,067/706,233 = 706,233/x
  3. Step 3: Cross multiply
    468,067x = 706,233 × 706,233
  4. Step 4: Simplify right side
    468,067x = 498,765,050,289
  5. Step 5: Solve for x
    x = 498,765,050,289/468,067
  6. Step 6: Final answer
    x = 1,065,584.74

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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.