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Finding the Third Proportional to 367,066 and 483,747

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Solution

The third proportional to 367,066 and 483,747 is: 637,517.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    367,066 : 483,747 = 483,747 : x
  2. Step 2: Convert to fraction form
    367,066/483,747 = 483,747/x
  3. Step 3: Cross multiply
    367,066x = 483,747 × 483,747
  4. Step 4: Simplify right side
    367,066x = 234,011,160,009
  5. Step 5: Solve for x
    x = 234,011,160,009/367,066
  6. Step 6: Final answer
    x = 637,517.94

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These problems maintain the same ratio (1.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.