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Finding the Third Proportional to 256,364.13 and 558,857.75

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Solution

The third proportional to 256,364.13 and 558,857.75 is: 1,218,274.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,364.13 : 558,857.75 = 558,857.75 : x
  2. Step 2: Convert to fraction form
    256,364.13/558,857.75 = 558,857.75/x
  3. Step 3: Cross multiply
    256,364.13x = 558,857.75 × 558,857.75
  4. Step 4: Simplify right side
    256,364.13x = 312,321,984,735.06
  5. Step 5: Solve for x
    x = 312,321,984,735.06/256,364.13
  6. Step 6: Final answer
    x = 1,218,274.92

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.