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Finding the Third Proportional to 230,667 and 499,233

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Solution

The third proportional to 230,667 and 499,233 is: 1,080,490.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    230,667 : 499,233 = 499,233 : x
  2. Step 2: Convert to fraction form
    230,667/499,233 = 499,233/x
  3. Step 3: Cross multiply
    230,667x = 499,233 × 499,233
  4. Step 4: Simplify right side
    230,667x = 249,233,588,289
  5. Step 5: Solve for x
    x = 249,233,588,289/230,667
  6. Step 6: Final answer
    x = 1,080,490.87

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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.