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Finding the Third Proportional to 204,791.30 and 448,948.58

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Solution

The third proportional to 204,791.30 and 448,948.58 is: 984,196.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    204,791.30 : 448,948.58 = 448,948.58 : x
  2. Step 2: Convert to fraction form
    204,791.30/448,948.58 = 448,948.58/x
  3. Step 3: Cross multiply
    204,791.30x = 448,948.58 × 448,948.58
  4. Step 4: Simplify right side
    204,791.30x = 201,554,825,800.46
  5. Step 5: Solve for x
    x = 201,554,825,800.46/204,791.30
  6. Step 6: Final answer
    x = 984,196.25

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.