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Finding the Third Proportional to 221,728.50 and 476,667

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Solution

The third proportional to 221,728.50 and 476,667 is: 1,024,728.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    221,728.50 : 476,667 = 476,667 : x
  2. Step 2: Convert to fraction form
    221,728.50/476,667 = 476,667/x
  3. Step 3: Cross multiply
    221,728.50x = 476,667 × 476,667
  4. Step 4: Simplify right side
    221,728.50x = 227,211,428,889
  5. Step 5: Solve for x
    x = 227,211,428,889/221,728.50
  6. Step 6: Final answer
    x = 1,024,728.12

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.