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Finding the Third Proportional to 393,463 and 590,198

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Solution

The third proportional to 393,463 and 590,198 is: 885,302.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    393,463 : 590,198 = 590,198 : x
  2. Step 2: Convert to fraction form
    393,463/590,198 = 590,198/x
  3. Step 3: Cross multiply
    393,463x = 590,198 × 590,198
  4. Step 4: Simplify right side
    393,463x = 348,333,679,204
  5. Step 5: Solve for x
    x = 348,333,679,204/393,463
  6. Step 6: Final answer
    x = 885,302.25

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.