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Finding the Third Proportional to 367,843 and 499,277

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Solution

The third proportional to 367,843 and 499,277 is: 677,673.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    367,843 : 499,277 = 499,277 : x
  2. Step 2: Convert to fraction form
    367,843/499,277 = 499,277/x
  3. Step 3: Cross multiply
    367,843x = 499,277 × 499,277
  4. Step 4: Simplify right side
    367,843x = 249,277,522,729
  5. Step 5: Solve for x
    x = 249,277,522,729/367,843
  6. Step 6: Final answer
    x = 677,673.69

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.