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Finding the Third Proportional to 367,074 and 534,635

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Solution

The third proportional to 367,074 and 534,635 is: 778,683.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    367,074 : 534,635 = 534,635 : x
  2. Step 2: Convert to fraction form
    367,074/534,635 = 534,635/x
  3. Step 3: Cross multiply
    367,074x = 534,635 × 534,635
  4. Step 4: Simplify right side
    367,074x = 285,834,583,225
  5. Step 5: Solve for x
    x = 285,834,583,225/367,074
  6. Step 6: Final answer
    x = 778,683.82

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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.