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Finding the Third Proportional to 201,494 and 423,670

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Solution

The third proportional to 201,494 and 423,670 is: 890,826.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,494 : 423,670 = 423,670 : x
  2. Step 2: Convert to fraction form
    201,494/423,670 = 423,670/x
  3. Step 3: Cross multiply
    201,494x = 423,670 × 423,670
  4. Step 4: Simplify right side
    201,494x = 179,496,268,900
  5. Step 5: Solve for x
    x = 179,496,268,900/201,494
  6. Step 6: Final answer
    x = 890,826.87

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.