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Finding the Third Proportional to 214,946 and 455,493

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Solution

The third proportional to 214,946 and 455,493 is: 965,237.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    214,946 : 455,493 = 455,493 : x
  2. Step 2: Convert to fraction form
    214,946/455,493 = 455,493/x
  3. Step 3: Cross multiply
    214,946x = 455,493 × 455,493
  4. Step 4: Simplify right side
    214,946x = 207,473,873,049
  5. Step 5: Solve for x
    x = 207,473,873,049/214,946
  6. Step 6: Final answer
    x = 965,237.19

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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.