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Finding the Third Proportional to 239,165 and 524,979

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Solution

The third proportional to 239,165 and 524,979 is: 1,152,354.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    239,165 : 524,979 = 524,979 : x
  2. Step 2: Convert to fraction form
    239,165/524,979 = 524,979/x
  3. Step 3: Cross multiply
    239,165x = 524,979 × 524,979
  4. Step 4: Simplify right side
    239,165x = 275,602,950,441
  5. Step 5: Solve for x
    x = 275,602,950,441/239,165
  6. Step 6: Final answer
    x = 1,152,354.86

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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.