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Finding the Third Proportional to 327,861 and 712,584

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Solution

The third proportional to 327,861 and 712,584 is: 1,548,753.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    327,861 : 712,584 = 712,584 : x
  2. Step 2: Convert to fraction form
    327,861/712,584 = 712,584/x
  3. Step 3: Cross multiply
    327,861x = 712,584 × 712,584
  4. Step 4: Simplify right side
    327,861x = 507,775,957,056
  5. Step 5: Solve for x
    x = 507,775,957,056/327,861
  6. Step 6: Final answer
    x = 1,548,753.76

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.