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Finding the Third Proportional to 336,496.50 and 517,215.38

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Solution

The third proportional to 336,496.50 and 517,215.38 is: 794,991.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    336,496.50 : 517,215.38 = 517,215.38 : x
  2. Step 2: Convert to fraction form
    336,496.50/517,215.38 = 517,215.38/x
  3. Step 3: Cross multiply
    336,496.50x = 517,215.38 × 517,215.38
  4. Step 4: Simplify right side
    336,496.50x = 267,511,744,136.39
  5. Step 5: Solve for x
    x = 267,511,744,136.39/336,496.50
  6. Step 6: Final answer
    x = 794,991.16

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.