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Finding the Third Proportional to 84,593 and 200,405

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Solution

The third proportional to 84,593 and 200,405 is: 474,769.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,593 : 200,405 = 200,405 : x
  2. Step 2: Convert to fraction form
    84,593/200,405 = 200,405/x
  3. Step 3: Cross multiply
    84,593x = 200,405 × 200,405
  4. Step 4: Simplify right side
    84,593x = 40,162,164,025
  5. Step 5: Solve for x
    x = 40,162,164,025/84,593
  6. Step 6: Final answer
    x = 474,769.35

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Why These Related Problems?

These problems maintain the same ratio (2.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.