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Finding the Third Proportional to 229,491 and 330,525

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Solution

The third proportional to 229,491 and 330,525 is: 476,039.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    229,491 : 330,525 = 330,525 : x
  2. Step 2: Convert to fraction form
    229,491/330,525 = 330,525/x
  3. Step 3: Cross multiply
    229,491x = 330,525 × 330,525
  4. Step 4: Simplify right side
    229,491x = 109,246,775,625
  5. Step 5: Solve for x
    x = 109,246,775,625/229,491
  6. Step 6: Final answer
    x = 476,039.48

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.