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Finding the Third Proportional to 200,433.75 and 417,452.25

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Solution

The third proportional to 200,433.75 and 417,452.25 is: 869,446.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,433.75 : 417,452.25 = 417,452.25 : x
  2. Step 2: Convert to fraction form
    200,433.75/417,452.25 = 417,452.25/x
  3. Step 3: Cross multiply
    200,433.75x = 417,452.25 × 417,452.25
  4. Step 4: Simplify right side
    200,433.75x = 174,266,381,030.06
  5. Step 5: Solve for x
    x = 174,266,381,030.06/200,433.75
  6. Step 6: Final answer
    x = 869,446.29

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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.