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Finding the Third Proportional to 364,067 and 569,864

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Solution

The third proportional to 364,067 and 569,864 is: 891,992.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    364,067 : 569,864 = 569,864 : x
  2. Step 2: Convert to fraction form
    364,067/569,864 = 569,864/x
  3. Step 3: Cross multiply
    364,067x = 569,864 × 569,864
  4. Step 4: Simplify right side
    364,067x = 324,744,978,496
  5. Step 5: Solve for x
    x = 324,744,978,496/364,067
  6. Step 6: Final answer
    x = 891,992.35

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.