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Finding the Third Proportional to 211,452 and 455,913

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Solution

The third proportional to 211,452 and 455,913 is: 982,996.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    211,452 : 455,913 = 455,913 : x
  2. Step 2: Convert to fraction form
    211,452/455,913 = 455,913/x
  3. Step 3: Cross multiply
    211,452x = 455,913 × 455,913
  4. Step 4: Simplify right side
    211,452x = 207,856,663,569
  5. Step 5: Solve for x
    x = 207,856,663,569/211,452
  6. Step 6: Final answer
    x = 982,996.91

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.