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Finding the Third Proportional to 256,425.75 and 550,234.13

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Solution

The third proportional to 256,425.75 and 550,234.13 is: 1,180,683.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,425.75 : 550,234.13 = 550,234.13 : x
  2. Step 2: Convert to fraction form
    256,425.75/550,234.13 = 550,234.13/x
  3. Step 3: Cross multiply
    256,425.75x = 550,234.13 × 550,234.13
  4. Step 4: Simplify right side
    256,425.75x = 302,757,592,314.52
  5. Step 5: Solve for x
    x = 302,757,592,314.52/256,425.75
  6. Step 6: Final answer
    x = 1,180,683.27

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.