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Finding the Third Proportional to 291,142 and 636,593

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Solution

The third proportional to 291,142 and 636,593 is: 1,391,934.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    291,142 : 636,593 = 636,593 : x
  2. Step 2: Convert to fraction form
    291,142/636,593 = 636,593/x
  3. Step 3: Cross multiply
    291,142x = 636,593 × 636,593
  4. Step 4: Simplify right side
    291,142x = 405,250,647,649
  5. Step 5: Solve for x
    x = 405,250,647,649/291,142
  6. Step 6: Final answer
    x = 1,391,934.68

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.