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Finding the Third Proportional to 211,492 and 327,975

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Solution

The third proportional to 211,492 and 327,975 is: 508,613.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    211,492 : 327,975 = 327,975 : x
  2. Step 2: Convert to fraction form
    211,492/327,975 = 327,975/x
  3. Step 3: Cross multiply
    211,492x = 327,975 × 327,975
  4. Step 4: Simplify right side
    211,492x = 107,567,600,625
  5. Step 5: Solve for x
    x = 107,567,600,625/211,492
  6. Step 6: Final answer
    x = 508,613.09

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.