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Finding the Third Proportional to 277,048 and 369,744

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Solution

The third proportional to 277,048 and 369,744 is: 493,454.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    277,048 : 369,744 = 369,744 : x
  2. Step 2: Convert to fraction form
    277,048/369,744 = 369,744/x
  3. Step 3: Cross multiply
    277,048x = 369,744 × 369,744
  4. Step 4: Simplify right side
    277,048x = 136,710,625,536
  5. Step 5: Solve for x
    x = 136,710,625,536/277,048
  6. Step 6: Final answer
    x = 493,454.66

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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.