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Finding the Third Proportional to 367,081 and 534,643

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Solution

The third proportional to 367,081 and 534,643 is: 778,692.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    367,081 : 534,643 = 534,643 : x
  2. Step 2: Convert to fraction form
    367,081/534,643 = 534,643/x
  3. Step 3: Cross multiply
    367,081x = 534,643 × 534,643
  4. Step 4: Simplify right side
    367,081x = 285,843,137,449
  5. Step 5: Solve for x
    x = 285,843,137,449/367,081
  6. Step 6: Final answer
    x = 778,692.27

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.