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Finding the Third Proportional to 213,338.81 and 452,982.38

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Solution

The third proportional to 213,338.81 and 452,982.38 is: 961,817.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    213,338.81 : 452,982.38 = 452,982.38 : x
  2. Step 2: Convert to fraction form
    213,338.81/452,982.38 = 452,982.38/x
  3. Step 3: Cross multiply
    213,338.81x = 452,982.38 × 452,982.38
  4. Step 4: Simplify right side
    213,338.81x = 205,193,032,060.64
  5. Step 5: Solve for x
    x = 205,193,032,060.64/213,338.81
  6. Step 6: Final answer
    x = 961,817.63

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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.