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Finding the Third Proportional to 293,862 and 636,588

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Solution

The third proportional to 293,862 and 636,588 is: 1,379,029.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    293,862 : 636,588 = 636,588 : x
  2. Step 2: Convert to fraction form
    293,862/636,588 = 636,588/x
  3. Step 3: Cross multiply
    293,862x = 636,588 × 636,588
  4. Step 4: Simplify right side
    293,862x = 405,244,281,744
  5. Step 5: Solve for x
    x = 405,244,281,744/293,862
  6. Step 6: Final answer
    x = 1,379,029.21

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.