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Finding the Third Proportional to 327,415 and 492,339

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Solution

The third proportional to 327,415 and 492,339 is: 740,337.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    327,415 : 492,339 = 492,339 : x
  2. Step 2: Convert to fraction form
    327,415/492,339 = 492,339/x
  3. Step 3: Cross multiply
    327,415x = 492,339 × 492,339
  4. Step 4: Simplify right side
    327,415x = 242,397,690,921
  5. Step 5: Solve for x
    x = 242,397,690,921/327,415
  6. Step 6: Final answer
    x = 740,337.77

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.