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Finding the Third Proportional to 224,930 and 330,627

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Solution

The third proportional to 224,930 and 330,627 is: 485,992.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    224,930 : 330,627 = 330,627 : x
  2. Step 2: Convert to fraction form
    224,930/330,627 = 330,627/x
  3. Step 3: Cross multiply
    224,930x = 330,627 × 330,627
  4. Step 4: Simplify right side
    224,930x = 109,314,213,129
  5. Step 5: Solve for x
    x = 109,314,213,129/224,930
  6. Step 6: Final answer
    x = 485,992.14

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.