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Finding the Third Proportional to 262,299 and 398,577.75

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Solution

The third proportional to 262,299 and 398,577.75 is: 605,660.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    262,299 : 398,577.75 = 398,577.75 : x
  2. Step 2: Convert to fraction form
    262,299/398,577.75 = 398,577.75/x
  3. Step 3: Cross multiply
    262,299x = 398,577.75 × 398,577.75
  4. Step 4: Simplify right side
    262,299x = 158,864,222,795.06
  5. Step 5: Solve for x
    x = 158,864,222,795.06/262,299
  6. Step 6: Final answer
    x = 605,660.80

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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.