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Finding the Third Proportional to 274,359 and 412,269

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Solution

The third proportional to 274,359 and 412,269 is: 619,501.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    274,359 : 412,269 = 412,269 : x
  2. Step 2: Convert to fraction form
    274,359/412,269 = 412,269/x
  3. Step 3: Cross multiply
    274,359x = 412,269 × 412,269
  4. Step 4: Simplify right side
    274,359x = 169,965,728,361
  5. Step 5: Solve for x
    x = 169,965,728,361/274,359
  6. Step 6: Final answer
    x = 619,501.20

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.