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Finding the Third Proportional to 412,940.75 and 914,319

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Solution

The third proportional to 412,940.75 and 914,319 is: 2,024,453.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    412,940.75 : 914,319 = 914,319 : x
  2. Step 2: Convert to fraction form
    412,940.75/914,319 = 914,319/x
  3. Step 3: Cross multiply
    412,940.75x = 914,319 × 914,319
  4. Step 4: Simplify right side
    412,940.75x = 835,979,233,761
  5. Step 5: Solve for x
    x = 835,979,233,761/412,940.75
  6. Step 6: Final answer
    x = 2,024,453.23

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Why These Related Problems?

These problems maintain the same ratio (2.21) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.