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Finding the Third Proportional to 239,010 and 524,676

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Solution

The third proportional to 239,010 and 524,676 is: 1,151,771.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    239,010 : 524,676 = 524,676 : x
  2. Step 2: Convert to fraction form
    239,010/524,676 = 524,676/x
  3. Step 3: Cross multiply
    239,010x = 524,676 × 524,676
  4. Step 4: Simplify right side
    239,010x = 275,284,904,976
  5. Step 5: Solve for x
    x = 275,284,904,976/239,010
  6. Step 6: Final answer
    x = 1,151,771.49

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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.