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Finding the Third Proportional to 219,314 and 330,592

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Solution

The third proportional to 219,314 and 330,592 is: 498,331.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    219,314 : 330,592 = 330,592 : x
  2. Step 2: Convert to fraction form
    219,314/330,592 = 330,592/x
  3. Step 3: Cross multiply
    219,314x = 330,592 × 330,592
  4. Step 4: Simplify right side
    219,314x = 109,291,070,464
  5. Step 5: Solve for x
    x = 109,291,070,464/219,314
  6. Step 6: Final answer
    x = 498,331.48

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.