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Finding the Third Proportional to 239,024 and 524,696

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Solution

The third proportional to 239,024 and 524,696 is: 1,151,791.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    239,024 : 524,696 = 524,696 : x
  2. Step 2: Convert to fraction form
    239,024/524,696 = 524,696/x
  3. Step 3: Cross multiply
    239,024x = 524,696 × 524,696
  4. Step 4: Simplify right side
    239,024x = 275,305,892,416
  5. Step 5: Solve for x
    x = 275,305,892,416/239,024
  6. Step 6: Final answer
    x = 1,151,791.84

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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.