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Finding the Third Proportional to 200,963.81 and 442,408.69

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Solution

The third proportional to 200,963.81 and 442,408.69 is: 973,933.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,963.81 : 442,408.69 = 442,408.69 : x
  2. Step 2: Convert to fraction form
    200,963.81/442,408.69 = 442,408.69/x
  3. Step 3: Cross multiply
    200,963.81x = 442,408.69 × 442,408.69
  4. Step 4: Simplify right side
    200,963.81x = 195,725,446,775.47
  5. Step 5: Solve for x
    x = 195,725,446,775.47/200,963.81
  6. Step 6: Final answer
    x = 973,933.79

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.