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Finding the Third Proportional to 367,078 and 534,641

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Solution

The third proportional to 367,078 and 534,641 is: 778,692.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    367,078 : 534,641 = 534,641 : x
  2. Step 2: Convert to fraction form
    367,078/534,641 = 534,641/x
  3. Step 3: Cross multiply
    367,078x = 534,641 × 534,641
  4. Step 4: Simplify right side
    367,078x = 285,840,998,881
  5. Step 5: Solve for x
    x = 285,840,998,881/367,078
  6. Step 6: Final answer
    x = 778,692.81

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