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Finding the Third Proportional to 211,452.75 and 455,914.13

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Solution

The third proportional to 211,452.75 and 455,914.13 is: 982,998.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    211,452.75 : 455,914.13 = 455,914.13 : x
  2. Step 2: Convert to fraction form
    211,452.75/455,914.13 = 455,914.13/x
  3. Step 3: Cross multiply
    211,452.75x = 455,914.13 × 455,914.13
  4. Step 4: Simplify right side
    211,452.75x = 207,857,689,374.52
  5. Step 5: Solve for x
    x = 207,857,689,374.52/211,452.75
  6. Step 6: Final answer
    x = 982,998.28

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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.