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Finding the Third Proportional to 256,738.50 and 547,825.50

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Solution

The third proportional to 256,738.50 and 547,825.50 is: 1,168,943.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,738.50 : 547,825.50 = 547,825.50 : x
  2. Step 2: Convert to fraction form
    256,738.50/547,825.50 = 547,825.50/x
  3. Step 3: Cross multiply
    256,738.50x = 547,825.50 × 547,825.50
  4. Step 4: Simplify right side
    256,738.50x = 300,112,778,450.25
  5. Step 5: Solve for x
    x = 300,112,778,450.25/256,738.50
  6. Step 6: Final answer
    x = 1,168,943.41

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.