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Finding the Third Proportional to 200,406 and 465,975

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Solution

The third proportional to 200,406 and 465,975 is: 1,083,464.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,406 : 465,975 = 465,975 : x
  2. Step 2: Convert to fraction form
    200,406/465,975 = 465,975/x
  3. Step 3: Cross multiply
    200,406x = 465,975 × 465,975
  4. Step 4: Simplify right side
    200,406x = 217,132,700,625
  5. Step 5: Solve for x
    x = 217,132,700,625/200,406
  6. Step 6: Final answer
    x = 1,083,464.07

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Why These Related Problems?

These problems maintain the same ratio (2.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.