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Finding the Third Proportional to 230,699 and 324,727

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Solution

The third proportional to 230,699 and 324,727 is: 457,078.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    230,699 : 324,727 = 324,727 : x
  2. Step 2: Convert to fraction form
    230,699/324,727 = 324,727/x
  3. Step 3: Cross multiply
    230,699x = 324,727 × 324,727
  4. Step 4: Simplify right side
    230,699x = 105,447,624,529
  5. Step 5: Solve for x
    x = 105,447,624,529/230,699
  6. Step 6: Final answer
    x = 457,078.81

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.