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Finding the Third Proportional to 214,880 and 455,372

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Solution

The third proportional to 214,880 and 455,372 is: 965,020.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    214,880 : 455,372 = 455,372 : x
  2. Step 2: Convert to fraction form
    214,880/455,372 = 455,372/x
  3. Step 3: Cross multiply
    214,880x = 455,372 × 455,372
  4. Step 4: Simplify right side
    214,880x = 207,363,658,384
  5. Step 5: Solve for x
    x = 207,363,658,384/214,880
  6. Step 6: Final answer
    x = 965,020.75

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.