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Finding the Third Proportional to 230,676 and 499,249

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Solution

The third proportional to 230,676 and 499,249 is: 1,080,517.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    230,676 : 499,249 = 499,249 : x
  2. Step 2: Convert to fraction form
    230,676/499,249 = 499,249/x
  3. Step 3: Cross multiply
    230,676x = 499,249 × 499,249
  4. Step 4: Simplify right side
    230,676x = 249,249,564,001
  5. Step 5: Solve for x
    x = 249,249,564,001/230,676
  6. Step 6: Final answer
    x = 1,080,517.97

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.