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Finding the Third Proportional to 307,724.50 and 639,911

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Solution

The third proportional to 307,724.50 and 639,911 is: 1,330,690.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    307,724.50 : 639,911 = 639,911 : x
  2. Step 2: Convert to fraction form
    307,724.50/639,911 = 639,911/x
  3. Step 3: Cross multiply
    307,724.50x = 639,911 × 639,911
  4. Step 4: Simplify right side
    307,724.50x = 409,486,087,921
  5. Step 5: Solve for x
    x = 409,486,087,921/307,724.50
  6. Step 6: Final answer
    x = 1,330,690.56

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These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.