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Finding the Third Proportional to 269,255.25 and 409,477.50

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Solution

The third proportional to 269,255.25 and 409,477.50 is: 622,724.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    269,255.25 : 409,477.50 = 409,477.50 : x
  2. Step 2: Convert to fraction form
    269,255.25/409,477.50 = 409,477.50/x
  3. Step 3: Cross multiply
    269,255.25x = 409,477.50 × 409,477.50
  4. Step 4: Simplify right side
    269,255.25x = 167,671,823,006.25
  5. Step 5: Solve for x
    x = 167,671,823,006.25/269,255.25
  6. Step 6: Final answer
    x = 622,724.43

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.