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Finding the Third Proportional to 200,974.50 and 439,614

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Solution

The third proportional to 200,974.50 and 439,614 is: 961,616.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,974.50 : 439,614 = 439,614 : x
  2. Step 2: Convert to fraction form
    200,974.50/439,614 = 439,614/x
  3. Step 3: Cross multiply
    200,974.50x = 439,614 × 439,614
  4. Step 4: Simplify right side
    200,974.50x = 193,260,468,996
  5. Step 5: Solve for x
    x = 193,260,468,996/200,974.50
  6. Step 6: Final answer
    x = 961,616.87

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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.