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Finding the Third Proportional to 398,641.50 and 605,340

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Solution

The third proportional to 398,641.50 and 605,340 is: 919,213.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    398,641.50 : 605,340 = 605,340 : x
  2. Step 2: Convert to fraction form
    398,641.50/605,340 = 605,340/x
  3. Step 3: Cross multiply
    398,641.50x = 605,340 × 605,340
  4. Step 4: Simplify right side
    398,641.50x = 366,436,515,600
  5. Step 5: Solve for x
    x = 366,436,515,600/398,641.50
  6. Step 6: Final answer
    x = 919,213.17

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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.