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Finding the Third Proportional to 403,116.75 and 582,724.13

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Solution

The third proportional to 403,116.75 and 582,724.13 is: 842,354.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    403,116.75 : 582,724.13 = 582,724.13 : x
  2. Step 2: Convert to fraction form
    403,116.75/582,724.13 = 582,724.13/x
  3. Step 3: Cross multiply
    403,116.75x = 582,724.13 × 582,724.13
  4. Step 4: Simplify right side
    403,116.75x = 339,567,405,857.02
  5. Step 5: Solve for x
    x = 339,567,405,857.02/403,116.75
  6. Step 6: Final answer
    x = 842,354.99

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These problems maintain the same ratio (1.45) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.