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Finding the Third Proportional to 327,564 and 511,110

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Solution

The third proportional to 327,564 and 511,110 is: 797,503.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    327,564 : 511,110 = 511,110 : x
  2. Step 2: Convert to fraction form
    327,564/511,110 = 511,110/x
  3. Step 3: Cross multiply
    327,564x = 511,110 × 511,110
  4. Step 4: Simplify right side
    327,564x = 261,233,432,100
  5. Step 5: Solve for x
    x = 261,233,432,100/327,564
  6. Step 6: Final answer
    x = 797,503.49

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.