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Finding the Third Proportional to 256,914.75 and 541,527

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Solution

The third proportional to 256,914.75 and 541,527 is: 1,141,435.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,914.75 : 541,527 = 541,527 : x
  2. Step 2: Convert to fraction form
    256,914.75/541,527 = 541,527/x
  3. Step 3: Cross multiply
    256,914.75x = 541,527 × 541,527
  4. Step 4: Simplify right side
    256,914.75x = 293,251,491,729
  5. Step 5: Solve for x
    x = 293,251,491,729/256,914.75
  6. Step 6: Final answer
    x = 1,141,435.02

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These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.