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Finding the Third Proportional to 240,222 and 522,728

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Solution

The third proportional to 240,222 and 522,728 is: 1,137,466.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    240,222 : 522,728 = 522,728 : x
  2. Step 2: Convert to fraction form
    240,222/522,728 = 522,728/x
  3. Step 3: Cross multiply
    240,222x = 522,728 × 522,728
  4. Step 4: Simplify right side
    240,222x = 273,244,561,984
  5. Step 5: Solve for x
    x = 273,244,561,984/240,222
  6. Step 6: Final answer
    x = 1,137,466.85

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.