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Finding the Third Proportional to 582,883.31 and 1,260,568.13

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Solution

The third proportional to 582,883.31 and 1,260,568.13 is: 2,726,157.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    582,883.31 : 1,260,568.13 = 1,260,568.13 : x
  2. Step 2: Convert to fraction form
    582,883.31/1,260,568.13 = 1,260,568.13/x
  3. Step 3: Cross multiply
    582,883.31x = 1,260,568.13 × 1,260,568.13
  4. Step 4: Simplify right side
    582,883.31x = 1,589,031,997,766.02
  5. Step 5: Solve for x
    x = 1,589,031,997,766.02/582,883.31
  6. Step 6: Final answer
    x = 2,726,157.99

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.