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Finding the Third Proportional to 393,744 and 610,866

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Solution

The third proportional to 393,744 and 610,866 is: 947,715.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    393,744 : 610,866 = 610,866 : x
  2. Step 2: Convert to fraction form
    393,744/610,866 = 610,866/x
  3. Step 3: Cross multiply
    393,744x = 610,866 × 610,866
  4. Step 4: Simplify right side
    393,744x = 373,157,269,956
  5. Step 5: Solve for x
    x = 373,157,269,956/393,744
  6. Step 6: Final answer
    x = 947,715.44

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.