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Finding the Third Proportional to 269,736.75 and 581,505.75

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Solution

The third proportional to 269,736.75 and 581,505.75 is: 1,253,625.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    269,736.75 : 581,505.75 = 581,505.75 : x
  2. Step 2: Convert to fraction form
    269,736.75/581,505.75 = 581,505.75/x
  3. Step 3: Cross multiply
    269,736.75x = 581,505.75 × 581,505.75
  4. Step 4: Simplify right side
    269,736.75x = 338,148,937,283.06
  5. Step 5: Solve for x
    x = 338,148,937,283.06/269,736.75
  6. Step 6: Final answer
    x = 1,253,625.76

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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.