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Finding the Third Proportional to 217,033.50 and 450,699

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Solution

The third proportional to 217,033.50 and 450,699 is: 935,936.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    217,033.50 : 450,699 = 450,699 : x
  2. Step 2: Convert to fraction form
    217,033.50/450,699 = 450,699/x
  3. Step 3: Cross multiply
    217,033.50x = 450,699 × 450,699
  4. Step 4: Simplify right side
    217,033.50x = 203,129,588,601
  5. Step 5: Solve for x
    x = 203,129,588,601/217,033.50
  6. Step 6: Final answer
    x = 935,936.57

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.