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Finding the Third Proportional to 217,975.50 and 486,981

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Solution

The third proportional to 217,975.50 and 486,981 is: 1,087,968.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    217,975.50 : 486,981 = 486,981 : x
  2. Step 2: Convert to fraction form
    217,975.50/486,981 = 486,981/x
  3. Step 3: Cross multiply
    217,975.50x = 486,981 × 486,981
  4. Step 4: Simplify right side
    217,975.50x = 237,150,494,361
  5. Step 5: Solve for x
    x = 237,150,494,361/217,975.50
  6. Step 6: Final answer
    x = 1,087,968.58

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Why These Related Problems?

These problems maintain the same ratio (2.23) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.