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Finding the Third Proportional to 256,754.81 and 554,105.25

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Solution

The third proportional to 256,754.81 and 554,105.25 is: 1,195,820.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,754.81 : 554,105.25 = 554,105.25 : x
  2. Step 2: Convert to fraction form
    256,754.81/554,105.25 = 554,105.25/x
  3. Step 3: Cross multiply
    256,754.81x = 554,105.25 × 554,105.25
  4. Step 4: Simplify right side
    256,754.81x = 307,032,628,077.56
  5. Step 5: Solve for x
    x = 307,032,628,077.56/256,754.81
  6. Step 6: Final answer
    x = 1,195,820.34

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.