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Finding the Third Proportional to 336,772 and 731,675

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Solution

The third proportional to 336,772 and 731,675 is: 1,589,646.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    336,772 : 731,675 = 731,675 : x
  2. Step 2: Convert to fraction form
    336,772/731,675 = 731,675/x
  3. Step 3: Cross multiply
    336,772x = 731,675 × 731,675
  4. Step 4: Simplify right side
    336,772x = 535,348,305,625
  5. Step 5: Solve for x
    x = 535,348,305,625/336,772
  6. Step 6: Final answer
    x = 1,589,646.13

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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.