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Finding the Third Proportional to 268,204.50 and 558,454.50

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Solution

The third proportional to 268,204.50 and 558,454.50 is: 1,162,812.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    268,204.50 : 558,454.50 = 558,454.50 : x
  2. Step 2: Convert to fraction form
    268,204.50/558,454.50 = 558,454.50/x
  3. Step 3: Cross multiply
    268,204.50x = 558,454.50 × 558,454.50
  4. Step 4: Simplify right side
    268,204.50x = 311,871,428,570.25
  5. Step 5: Solve for x
    x = 311,871,428,570.25/268,204.50
  6. Step 6: Final answer
    x = 1,162,812.07

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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.