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Finding the Third Proportional to 327,270 and 706,182

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Solution

The third proportional to 327,270 and 706,182 is: 1,523,796.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    327,270 : 706,182 = 706,182 : x
  2. Step 2: Convert to fraction form
    327,270/706,182 = 706,182/x
  3. Step 3: Cross multiply
    327,270x = 706,182 × 706,182
  4. Step 4: Simplify right side
    327,270x = 498,693,017,124
  5. Step 5: Solve for x
    x = 498,693,017,124/327,270
  6. Step 6: Final answer
    x = 1,523,796.92

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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.