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Finding the Third Proportional to 367,082 and 534,647

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Solution

The third proportional to 367,082 and 534,647 is: 778,701.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    367,082 : 534,647 = 534,647 : x
  2. Step 2: Convert to fraction form
    367,082/534,647 = 534,647/x
  3. Step 3: Cross multiply
    367,082x = 534,647 × 534,647
  4. Step 4: Simplify right side
    367,082x = 285,847,414,609
  5. Step 5: Solve for x
    x = 285,847,414,609/367,082
  6. Step 6: Final answer
    x = 778,701.80

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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.