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Finding the Third Proportional to 327,387 and 723,606

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Solution

The third proportional to 327,387 and 723,606 is: 1,599,347.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    327,387 : 723,606 = 723,606 : x
  2. Step 2: Convert to fraction form
    327,387/723,606 = 723,606/x
  3. Step 3: Cross multiply
    327,387x = 723,606 × 723,606
  4. Step 4: Simplify right side
    327,387x = 523,605,643,236
  5. Step 5: Solve for x
    x = 523,605,643,236/327,387
  6. Step 6: Final answer
    x = 1,599,347.69

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Why These Related Problems?

These problems maintain the same ratio (2.21) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.