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Finding the Third Proportional to 471,933 and 707,949

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Solution

The third proportional to 471,933 and 707,949 is: 1,061,997.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    471,933 : 707,949 = 707,949 : x
  2. Step 2: Convert to fraction form
    471,933/707,949 = 707,949/x
  3. Step 3: Cross multiply
    471,933x = 707,949 × 707,949
  4. Step 4: Simplify right side
    471,933x = 501,191,786,601
  5. Step 5: Solve for x
    x = 501,191,786,601/471,933
  6. Step 6: Final answer
    x = 1,061,997.76

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.