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Finding the Third Proportional to 200,652 and 417,912

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Solution

The third proportional to 200,652 and 417,912 is: 870,414.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,652 : 417,912 = 417,912 : x
  2. Step 2: Convert to fraction form
    200,652/417,912 = 417,912/x
  3. Step 3: Cross multiply
    200,652x = 417,912 × 417,912
  4. Step 4: Simplify right side
    200,652x = 174,650,439,744
  5. Step 5: Solve for x
    x = 174,650,439,744/200,652
  6. Step 6: Final answer
    x = 870,414.65

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.