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Finding the Third Proportional to 215,327 and 330,524

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Solution

The third proportional to 215,327 and 330,524 is: 507,349.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    215,327 : 330,524 = 330,524 : x
  2. Step 2: Convert to fraction form
    215,327/330,524 = 330,524/x
  3. Step 3: Cross multiply
    215,327x = 330,524 × 330,524
  4. Step 4: Simplify right side
    215,327x = 109,246,114,576
  5. Step 5: Solve for x
    x = 109,246,114,576/215,327
  6. Step 6: Final answer
    x = 507,349.82

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.