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Finding the Third Proportional to 226,832 and 488,328

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Solution

The third proportional to 226,832 and 488,328 is: 1,051,281.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    226,832 : 488,328 = 488,328 : x
  2. Step 2: Convert to fraction form
    226,832/488,328 = 488,328/x
  3. Step 3: Cross multiply
    226,832x = 488,328 × 488,328
  4. Step 4: Simplify right side
    226,832x = 238,464,235,584
  5. Step 5: Solve for x
    x = 238,464,235,584/226,832
  6. Step 6: Final answer
    x = 1,051,281.28

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.