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Finding the Third Proportional to 240,846.75 and 569,583.56

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Solution

The third proportional to 240,846.75 and 569,583.56 is: 1,347,020.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    240,846.75 : 569,583.56 = 569,583.56 : x
  2. Step 2: Convert to fraction form
    240,846.75/569,583.56 = 569,583.56/x
  3. Step 3: Cross multiply
    240,846.75x = 569,583.56 × 569,583.56
  4. Step 4: Simplify right side
    240,846.75x = 324,425,434,670.19
  5. Step 5: Solve for x
    x = 324,425,434,670.19/240,846.75
  6. Step 6: Final answer
    x = 1,347,020.19

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.