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Finding the Third Proportional to 301,806 and 639,589.50

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Solution

The third proportional to 301,806 and 639,589.50 is: 1,355,422.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    301,806 : 639,589.50 = 639,589.50 : x
  2. Step 2: Convert to fraction form
    301,806/639,589.50 = 639,589.50/x
  3. Step 3: Cross multiply
    301,806x = 639,589.50 × 639,589.50
  4. Step 4: Simplify right side
    301,806x = 409,074,728,510.25
  5. Step 5: Solve for x
    x = 409,074,728,510.25/301,806
  6. Step 6: Final answer
    x = 1,355,422.78

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These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.