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Finding the Third Proportional to 367,076 and 494,022

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Solution

The third proportional to 367,076 and 494,022 is: 664,869.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    367,076 : 494,022 = 494,022 : x
  2. Step 2: Convert to fraction form
    367,076/494,022 = 494,022/x
  3. Step 3: Cross multiply
    367,076x = 494,022 × 494,022
  4. Step 4: Simplify right side
    367,076x = 244,057,736,484
  5. Step 5: Solve for x
    x = 244,057,736,484/367,076
  6. Step 6: Final answer
    x = 664,869.77

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These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.