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Finding the Third Proportional to 200,647.75 and 417,903

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Solution

The third proportional to 200,647.75 and 417,903 is: 870,395.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,647.75 : 417,903 = 417,903 : x
  2. Step 2: Convert to fraction form
    200,647.75/417,903 = 417,903/x
  3. Step 3: Cross multiply
    200,647.75x = 417,903 × 417,903
  4. Step 4: Simplify right side
    200,647.75x = 174,642,917,409
  5. Step 5: Solve for x
    x = 174,642,917,409/200,647.75
  6. Step 6: Final answer
    x = 870,395.59

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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.