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Finding the Third Proportional to 256,754.50 and 554,106.75

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Solution

The third proportional to 256,754.50 and 554,106.75 is: 1,195,828.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,754.50 : 554,106.75 = 554,106.75 : x
  2. Step 2: Convert to fraction form
    256,754.50/554,106.75 = 554,106.75/x
  3. Step 3: Cross multiply
    256,754.50x = 554,106.75 × 554,106.75
  4. Step 4: Simplify right side
    256,754.50x = 307,034,290,395.56
  5. Step 5: Solve for x
    x = 307,034,290,395.56/256,754.50
  6. Step 6: Final answer
    x = 1,195,828.27

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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.