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Finding the Third Proportional to 214,876 and 472,640

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Solution

The third proportional to 214,876 and 472,640 is: 1,039,616.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    214,876 : 472,640 = 472,640 : x
  2. Step 2: Convert to fraction form
    214,876/472,640 = 472,640/x
  3. Step 3: Cross multiply
    214,876x = 472,640 × 472,640
  4. Step 4: Simplify right side
    214,876x = 223,388,569,600
  5. Step 5: Solve for x
    x = 223,388,569,600/214,876
  6. Step 6: Final answer
    x = 1,039,616.20

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.