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Finding the Third Proportional to 226,737 and 488,466

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Solution

The third proportional to 226,737 and 488,466 is: 1,052,316.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    226,737 : 488,466 = 488,466 : x
  2. Step 2: Convert to fraction form
    226,737/488,466 = 488,466/x
  3. Step 3: Cross multiply
    226,737x = 488,466 × 488,466
  4. Step 4: Simplify right side
    226,737x = 238,599,033,156
  5. Step 5: Solve for x
    x = 238,599,033,156/226,737
  6. Step 6: Final answer
    x = 1,052,316.27

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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.