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Finding the Third Proportional to 239,702 and 524,236

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Solution

The third proportional to 239,702 and 524,236 is: 1,146,521.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    239,702 : 524,236 = 524,236 : x
  2. Step 2: Convert to fraction form
    239,702/524,236 = 524,236/x
  3. Step 3: Cross multiply
    239,702x = 524,236 × 524,236
  4. Step 4: Simplify right side
    239,702x = 274,823,383,696
  5. Step 5: Solve for x
    x = 274,823,383,696/239,702
  6. Step 6: Final answer
    x = 1,146,521.03

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.