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Finding the Third Proportional to 240,527.25 and 519,189.75

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Solution

The third proportional to 240,527.25 and 519,189.75 is: 1,120,696.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    240,527.25 : 519,189.75 = 519,189.75 : x
  2. Step 2: Convert to fraction form
    240,527.25/519,189.75 = 519,189.75/x
  3. Step 3: Cross multiply
    240,527.25x = 519,189.75 × 519,189.75
  4. Step 4: Simplify right side
    240,527.25x = 269,557,996,505.06
  5. Step 5: Solve for x
    x = 269,557,996,505.06/240,527.25
  6. Step 6: Final answer
    x = 1,120,696.29

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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.