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Finding the Third Proportional to 240,568 and 522,115

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Solution

The third proportional to 240,568 and 522,115 is: 1,133,168.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    240,568 : 522,115 = 522,115 : x
  2. Step 2: Convert to fraction form
    240,568/522,115 = 522,115/x
  3. Step 3: Cross multiply
    240,568x = 522,115 × 522,115
  4. Step 4: Simplify right side
    240,568x = 272,604,073,225
  5. Step 5: Solve for x
    x = 272,604,073,225/240,568
  6. Step 6: Final answer
    x = 1,133,168.47

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.