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Finding the Third Proportional to 401,933 and 639,800

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Solution

The third proportional to 401,933 and 639,800 is: 1,018,438.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    401,933 : 639,800 = 639,800 : x
  2. Step 2: Convert to fraction form
    401,933/639,800 = 639,800/x
  3. Step 3: Cross multiply
    401,933x = 639,800 × 639,800
  4. Step 4: Simplify right side
    401,933x = 409,344,040,000
  5. Step 5: Solve for x
    x = 409,344,040,000/401,933
  6. Step 6: Final answer
    x = 1,018,438.50

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.