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Finding the Third Proportional to 327,154 and 463,938

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Solution

The third proportional to 327,154 and 463,938 is: 657,911.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    327,154 : 463,938 = 463,938 : x
  2. Step 2: Convert to fraction form
    327,154/463,938 = 463,938/x
  3. Step 3: Cross multiply
    327,154x = 463,938 × 463,938
  4. Step 4: Simplify right side
    327,154x = 215,238,467,844
  5. Step 5: Solve for x
    x = 215,238,467,844/327,154
  6. Step 6: Final answer
    x = 657,911.77

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Why These Related Problems?

These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.