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Finding the Third Proportional to 543,268.69 and 737,829

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Solution

The third proportional to 543,268.69 and 737,829 is: 1,002,067.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    543,268.69 : 737,829 = 737,829 : x
  2. Step 2: Convert to fraction form
    543,268.69/737,829 = 737,829/x
  3. Step 3: Cross multiply
    543,268.69x = 737,829 × 737,829
  4. Step 4: Simplify right side
    543,268.69x = 544,391,633,241
  5. Step 5: Solve for x
    x = 544,391,633,241/543,268.69
  6. Step 6: Final answer
    x = 1,002,067.02

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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.