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Finding the Third Proportional to 214,874 and 455,361

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Solution

The third proportional to 214,874 and 455,361 is: 965,001.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    214,874 : 455,361 = 455,361 : x
  2. Step 2: Convert to fraction form
    214,874/455,361 = 455,361/x
  3. Step 3: Cross multiply
    214,874x = 455,361 × 455,361
  4. Step 4: Simplify right side
    214,874x = 207,353,640,321
  5. Step 5: Solve for x
    x = 207,353,640,321/214,874
  6. Step 6: Final answer
    x = 965,001.07

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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.