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Finding the Third Proportional to 582,757.50 and 900,015.75

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Solution

The third proportional to 582,757.50 and 900,015.75 is: 1,389,992.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    582,757.50 : 900,015.75 = 900,015.75 : x
  2. Step 2: Convert to fraction form
    582,757.50/900,015.75 = 900,015.75/x
  3. Step 3: Cross multiply
    582,757.50x = 900,015.75 × 900,015.75
  4. Step 4: Simplify right side
    582,757.50x = 810,028,350,248.06
  5. Step 5: Solve for x
    x = 810,028,350,248.06/582,757.50
  6. Step 6: Final answer
    x = 1,389,992.15

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These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.