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Finding the Third Proportional to 398,586 and 605,260.50

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Solution

The third proportional to 398,586 and 605,260.50 is: 919,099.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    398,586 : 605,260.50 = 605,260.50 : x
  2. Step 2: Convert to fraction form
    398,586/605,260.50 = 605,260.50/x
  3. Step 3: Cross multiply
    398,586x = 605,260.50 × 605,260.50
  4. Step 4: Simplify right side
    398,586x = 366,340,272,860.25
  5. Step 5: Solve for x
    x = 366,340,272,860.25/398,586
  6. Step 6: Final answer
    x = 919,099.70

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These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.