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Finding the Third Proportional to 366,908 and 756,664

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Solution

The third proportional to 366,908 and 756,664 is: 1,560,446.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    366,908 : 756,664 = 756,664 : x
  2. Step 2: Convert to fraction form
    366,908/756,664 = 756,664/x
  3. Step 3: Cross multiply
    366,908x = 756,664 × 756,664
  4. Step 4: Simplify right side
    366,908x = 572,540,408,896
  5. Step 5: Solve for x
    x = 572,540,408,896/366,908
  6. Step 6: Final answer
    x = 1,560,446.78

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Why These Related Problems?

These problems maintain the same ratio (2.06) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.