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Finding the Third Proportional to 277,045 and 369,739

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Solution

The third proportional to 277,045 and 369,739 is: 493,446.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    277,045 : 369,739 = 369,739 : x
  2. Step 2: Convert to fraction form
    277,045/369,739 = 369,739/x
  3. Step 3: Cross multiply
    277,045x = 369,739 × 369,739
  4. Step 4: Simplify right side
    277,045x = 136,706,928,121
  5. Step 5: Solve for x
    x = 136,706,928,121/277,045
  6. Step 6: Final answer
    x = 493,446.65

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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.