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Finding the Third Proportional to 211,673.25 and 452,850.75

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Solution

The third proportional to 211,673.25 and 452,850.75 is: 968,822.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    211,673.25 : 452,850.75 = 452,850.75 : x
  2. Step 2: Convert to fraction form
    211,673.25/452,850.75 = 452,850.75/x
  3. Step 3: Cross multiply
    211,673.25x = 452,850.75 × 452,850.75
  4. Step 4: Simplify right side
    211,673.25x = 205,073,801,775.56
  5. Step 5: Solve for x
    x = 205,073,801,775.56/211,673.25
  6. Step 6: Final answer
    x = 968,822.47

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These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.