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Finding the Third Proportional to 399,081 and 619,606.50

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Solution

The third proportional to 399,081 and 619,606.50 is: 961,990.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    399,081 : 619,606.50 = 619,606.50 : x
  2. Step 2: Convert to fraction form
    399,081/619,606.50 = 619,606.50/x
  3. Step 3: Cross multiply
    399,081x = 619,606.50 × 619,606.50
  4. Step 4: Simplify right side
    399,081x = 383,912,214,842.25
  5. Step 5: Solve for x
    x = 383,912,214,842.25/399,081
  6. Step 6: Final answer
    x = 961,990.71

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.