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Finding the Third Proportional to 294,764 and 636,593

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Solution

The third proportional to 294,764 and 636,593 is: 1,374,830.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    294,764 : 636,593 = 636,593 : x
  2. Step 2: Convert to fraction form
    294,764/636,593 = 636,593/x
  3. Step 3: Cross multiply
    294,764x = 636,593 × 636,593
  4. Step 4: Simplify right side
    294,764x = 405,250,647,649
  5. Step 5: Solve for x
    x = 405,250,647,649/294,764
  6. Step 6: Final answer
    x = 1,374,830.87

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.