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Finding the Third Proportional to 217,849.50 and 455,652

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Solution

The third proportional to 217,849.50 and 455,652 is: 953,037.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    217,849.50 : 455,652 = 455,652 : x
  2. Step 2: Convert to fraction form
    217,849.50/455,652 = 455,652/x
  3. Step 3: Cross multiply
    217,849.50x = 455,652 × 455,652
  4. Step 4: Simplify right side
    217,849.50x = 207,618,745,104
  5. Step 5: Solve for x
    x = 207,618,745,104/217,849.50
  6. Step 6: Final answer
    x = 953,037.51

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.