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Finding the Third Proportional to 327,366 and 510,946

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Solution

The third proportional to 327,366 and 510,946 is: 797,473.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    327,366 : 510,946 = 510,946 : x
  2. Step 2: Convert to fraction form
    327,366/510,946 = 510,946/x
  3. Step 3: Cross multiply
    327,366x = 510,946 × 510,946
  4. Step 4: Simplify right side
    327,366x = 261,065,814,916
  5. Step 5: Solve for x
    x = 261,065,814,916/327,366
  6. Step 6: Final answer
    x = 797,473.82

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.