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Finding the Third Proportional to 217,957.50 and 449,847

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Solution

The third proportional to 217,957.50 and 449,847 is: 928,448.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    217,957.50 : 449,847 = 449,847 : x
  2. Step 2: Convert to fraction form
    217,957.50/449,847 = 449,847/x
  3. Step 3: Cross multiply
    217,957.50x = 449,847 × 449,847
  4. Step 4: Simplify right side
    217,957.50x = 202,362,323,409
  5. Step 5: Solve for x
    x = 202,362,323,409/217,957.50
  6. Step 6: Final answer
    x = 928,448.54

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Why These Related Problems?

These problems maintain the same ratio (2.06) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.