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Finding the Third Proportional to 277,049 and 369,745

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Solution

The third proportional to 277,049 and 369,745 is: 493,455.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    277,049 : 369,745 = 369,745 : x
  2. Step 2: Convert to fraction form
    277,049/369,745 = 369,745/x
  3. Step 3: Cross multiply
    277,049x = 369,745 × 369,745
  4. Step 4: Simplify right side
    277,049x = 136,711,365,025
  5. Step 5: Solve for x
    x = 136,711,365,025/277,049
  6. Step 6: Final answer
    x = 493,455.54

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Why These Related Problems?

These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.