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Finding the Third Proportional to 262,305.84 and 398,580.75

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Solution

The third proportional to 262,305.84 and 398,580.75 is: 605,654.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    262,305.84 : 398,580.75 = 398,580.75 : x
  2. Step 2: Convert to fraction form
    262,305.84/398,580.75 = 398,580.75/x
  3. Step 3: Cross multiply
    262,305.84x = 398,580.75 × 398,580.75
  4. Step 4: Simplify right side
    262,305.84x = 158,866,614,270.56
  5. Step 5: Solve for x
    x = 158,866,614,270.56/262,305.84
  6. Step 6: Final answer
    x = 605,654.12

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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.