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Finding the Third Proportional to 582,270.75 and 1,267,057.50

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Solution

The third proportional to 582,270.75 and 1,267,057.50 is: 2,757,196.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    582,270.75 : 1,267,057.50 = 1,267,057.50 : x
  2. Step 2: Convert to fraction form
    582,270.75/1,267,057.50 = 1,267,057.50/x
  3. Step 3: Cross multiply
    582,270.75x = 1,267,057.50 × 1,267,057.50
  4. Step 4: Simplify right side
    582,270.75x = 1,605,434,708,306.25
  5. Step 5: Solve for x
    x = 1,605,434,708,306.25/582,270.75
  6. Step 6: Final answer
    x = 2,757,196.22

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.