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Finding the Third Proportional to 230,669 and 499,246

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Solution

The third proportional to 230,669 and 499,246 is: 1,080,537.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    230,669 : 499,246 = 499,246 : x
  2. Step 2: Convert to fraction form
    230,669/499,246 = 499,246/x
  3. Step 3: Cross multiply
    230,669x = 499,246 × 499,246
  4. Step 4: Simplify right side
    230,669x = 249,246,568,516
  5. Step 5: Solve for x
    x = 249,246,568,516/230,669
  6. Step 6: Final answer
    x = 1,080,537.78

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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.