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Finding the Third Proportional to 299,227.50 and 649,320

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Solution

The third proportional to 299,227.50 and 649,320 is: 1,409,016.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,227.50 : 649,320 = 649,320 : x
  2. Step 2: Convert to fraction form
    299,227.50/649,320 = 649,320/x
  3. Step 3: Cross multiply
    299,227.50x = 649,320 × 649,320
  4. Step 4: Simplify right side
    299,227.50x = 421,616,462,400
  5. Step 5: Solve for x
    x = 421,616,462,400/299,227.50
  6. Step 6: Final answer
    x = 1,409,016.43

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.