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Finding the Third Proportional to 236,992 and 522,024

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Solution

The third proportional to 236,992 and 522,024 is: 1,149,866.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    236,992 : 522,024 = 522,024 : x
  2. Step 2: Convert to fraction form
    236,992/522,024 = 522,024/x
  3. Step 3: Cross multiply
    236,992x = 522,024 × 522,024
  4. Step 4: Simplify right side
    236,992x = 272,509,056,576
  5. Step 5: Solve for x
    x = 272,509,056,576/236,992
  6. Step 6: Final answer
    x = 1,149,866.06

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.