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Finding the Third Proportional to 367,042 and 543,740

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Solution

The third proportional to 367,042 and 543,740 is: 805,502.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    367,042 : 543,740 = 543,740 : x
  2. Step 2: Convert to fraction form
    367,042/543,740 = 543,740/x
  3. Step 3: Cross multiply
    367,042x = 543,740 × 543,740
  4. Step 4: Simplify right side
    367,042x = 295,653,187,600
  5. Step 5: Solve for x
    x = 295,653,187,600/367,042
  6. Step 6: Final answer
    x = 805,502.33

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.