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Finding the Third Proportional to 582,744 and 899,995.50

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Solution

The third proportional to 582,744 and 899,995.50 is: 1,389,961.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    582,744 : 899,995.50 = 899,995.50 : x
  2. Step 2: Convert to fraction form
    582,744/899,995.50 = 899,995.50/x
  3. Step 3: Cross multiply
    582,744x = 899,995.50 × 899,995.50
  4. Step 4: Simplify right side
    582,744x = 809,991,900,020.25
  5. Step 5: Solve for x
    x = 809,991,900,020.25/582,744
  6. Step 6: Final answer
    x = 1,389,961.80

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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.