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Finding the Third Proportional to 217,762 and 324,300

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Solution

The third proportional to 217,762 and 324,300 is: 482,960.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    217,762 : 324,300 = 324,300 : x
  2. Step 2: Convert to fraction form
    217,762/324,300 = 324,300/x
  3. Step 3: Cross multiply
    217,762x = 324,300 × 324,300
  4. Step 4: Simplify right side
    217,762x = 105,170,490,000
  5. Step 5: Solve for x
    x = 105,170,490,000/217,762
  6. Step 6: Final answer
    x = 482,960.71

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.