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Finding the Third Proportional to 211,542.75 and 452,607.19

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Solution

The third proportional to 211,542.75 and 452,607.19 is: 968,377.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    211,542.75 : 452,607.19 = 452,607.19 : x
  2. Step 2: Convert to fraction form
    211,542.75/452,607.19 = 452,607.19/x
  3. Step 3: Cross multiply
    211,542.75x = 452,607.19 × 452,607.19
  4. Step 4: Simplify right side
    211,542.75x = 204,853,266,176.66
  5. Step 5: Solve for x
    x = 204,853,266,176.66/211,542.75
  6. Step 6: Final answer
    x = 968,377.63

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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.