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Finding the Third Proportional to 240,529.50 and 519,194.25

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Solution

The third proportional to 240,529.50 and 519,194.25 is: 1,120,705.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    240,529.50 : 519,194.25 = 519,194.25 : x
  2. Step 2: Convert to fraction form
    240,529.50/519,194.25 = 519,194.25/x
  3. Step 3: Cross multiply
    240,529.50x = 519,194.25 × 519,194.25
  4. Step 4: Simplify right side
    240,529.50x = 269,562,669,233.06
  5. Step 5: Solve for x
    x = 269,562,669,233.06/240,529.50
  6. Step 6: Final answer
    x = 1,120,705.23

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.