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Finding the Third Proportional to 217,372 and 463,634

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Solution

The third proportional to 217,372 and 463,634 is: 988,887.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    217,372 : 463,634 = 463,634 : x
  2. Step 2: Convert to fraction form
    217,372/463,634 = 463,634/x
  3. Step 3: Cross multiply
    217,372x = 463,634 × 463,634
  4. Step 4: Simplify right side
    217,372x = 214,956,485,956
  5. Step 5: Solve for x
    x = 214,956,485,956/217,372
  6. Step 6: Final answer
    x = 988,887.65

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.