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Finding the Third Proportional to 269,644.50 and 419,181.75

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Solution

The third proportional to 269,644.50 and 419,181.75 is: 651,648.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    269,644.50 : 419,181.75 = 419,181.75 : x
  2. Step 2: Convert to fraction form
    269,644.50/419,181.75 = 419,181.75/x
  3. Step 3: Cross multiply
    269,644.50x = 419,181.75 × 419,181.75
  4. Step 4: Simplify right side
    269,644.50x = 175,713,339,533.06
  5. Step 5: Solve for x
    x = 175,713,339,533.06/269,644.50
  6. Step 6: Final answer
    x = 651,648.15

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.