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Finding the Third Proportional to 256,548.94 and 550,457.44

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Solution

The third proportional to 256,548.94 and 550,457.44 is: 1,181,074.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,548.94 : 550,457.44 = 550,457.44 : x
  2. Step 2: Convert to fraction form
    256,548.94/550,457.44 = 550,457.44/x
  3. Step 3: Cross multiply
    256,548.94x = 550,457.44 × 550,457.44
  4. Step 4: Simplify right side
    256,548.94x = 303,003,390,499.07
  5. Step 5: Solve for x
    x = 303,003,390,499.07/256,548.94
  6. Step 6: Final answer
    x = 1,181,074.43

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Why These Related Problems?

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