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Finding the Third Proportional to 367,784 and 793,626

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Solution

The third proportional to 367,784 and 793,626 is: 1,712,532.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    367,784 : 793,626 = 793,626 : x
  2. Step 2: Convert to fraction form
    367,784/793,626 = 793,626/x
  3. Step 3: Cross multiply
    367,784x = 793,626 × 793,626
  4. Step 4: Simplify right side
    367,784x = 629,842,227,876
  5. Step 5: Solve for x
    x = 629,842,227,876/367,784
  6. Step 6: Final answer
    x = 1,712,532.98

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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.