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Finding the Third Proportional to 227,669 and 499,626

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Solution

The third proportional to 227,669 and 499,626 is: 1,096,443.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    227,669 : 499,626 = 499,626 : x
  2. Step 2: Convert to fraction form
    227,669/499,626 = 499,626/x
  3. Step 3: Cross multiply
    227,669x = 499,626 × 499,626
  4. Step 4: Simplify right side
    227,669x = 249,626,139,876
  5. Step 5: Solve for x
    x = 249,626,139,876/227,669
  6. Step 6: Final answer
    x = 1,096,443.26

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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.