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Finding the Third Proportional to 256,440.75 and 558,032.25

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Solution

The third proportional to 256,440.75 and 558,032.25 is: 1,214,315.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,440.75 : 558,032.25 = 558,032.25 : x
  2. Step 2: Convert to fraction form
    256,440.75/558,032.25 = 558,032.25/x
  3. Step 3: Cross multiply
    256,440.75x = 558,032.25 × 558,032.25
  4. Step 4: Simplify right side
    256,440.75x = 311,399,992,040.06
  5. Step 5: Solve for x
    x = 311,399,992,040.06/256,440.75
  6. Step 6: Final answer
    x = 1,214,315.56

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Why These Related Problems?

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