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Finding the Third Proportional to 250,591.85 and 411,383.81

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Solution

The third proportional to 250,591.85 and 411,383.81 is: 675,347.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    250,591.85 : 411,383.81 = 411,383.81 : x
  2. Step 2: Convert to fraction form
    250,591.85/411,383.81 = 411,383.81/x
  3. Step 3: Cross multiply
    250,591.85x = 411,383.81 × 411,383.81
  4. Step 4: Simplify right side
    250,591.85x = 169,236,641,187.04
  5. Step 5: Solve for x
    x = 169,236,641,187.04/250,591.85
  6. Step 6: Final answer
    x = 675,347.74

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These problems maintain the same ratio (1.64) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.