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Finding the Third Proportional to 327,056 and 706,608

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Solution

The third proportional to 327,056 and 706,608 is: 1,526,634.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    327,056 : 706,608 = 706,608 : x
  2. Step 2: Convert to fraction form
    327,056/706,608 = 706,608/x
  3. Step 3: Cross multiply
    327,056x = 706,608 × 706,608
  4. Step 4: Simplify right side
    327,056x = 499,294,865,664
  5. Step 5: Solve for x
    x = 499,294,865,664/327,056
  6. Step 6: Final answer
    x = 1,526,634.17

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.