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Finding the Third Proportional to 238,469 and 524,004

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Solution

The third proportional to 238,469 and 524,004 is: 1,151,429.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    238,469 : 524,004 = 524,004 : x
  2. Step 2: Convert to fraction form
    238,469/524,004 = 524,004/x
  3. Step 3: Cross multiply
    238,469x = 524,004 × 524,004
  4. Step 4: Simplify right side
    238,469x = 274,580,192,016
  5. Step 5: Solve for x
    x = 274,580,192,016/238,469
  6. Step 6: Final answer
    x = 1,151,429.29

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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.