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Finding the Third Proportional to 327,680 and 442,715

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Solution

The third proportional to 327,680 and 442,715 is: 598,134.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    327,680 : 442,715 = 442,715 : x
  2. Step 2: Convert to fraction form
    327,680/442,715 = 442,715/x
  3. Step 3: Cross multiply
    327,680x = 442,715 × 442,715
  4. Step 4: Simplify right side
    327,680x = 195,996,571,225
  5. Step 5: Solve for x
    x = 195,996,571,225/327,680
  6. Step 6: Final answer
    x = 598,134.07

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.