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Finding the Third Proportional to 227,667 and 499,620

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Solution

The third proportional to 227,667 and 499,620 is: 1,096,426.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    227,667 : 499,620 = 499,620 : x
  2. Step 2: Convert to fraction form
    227,667/499,620 = 499,620/x
  3. Step 3: Cross multiply
    227,667x = 499,620 × 499,620
  4. Step 4: Simplify right side
    227,667x = 249,620,144,400
  5. Step 5: Solve for x
    x = 249,620,144,400/227,667
  6. Step 6: Final answer
    x = 1,096,426.55

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.