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Finding the Third Proportional to 231,668 and 500,026

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Solution

The third proportional to 231,668 and 500,026 is: 1,079,242.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    231,668 : 500,026 = 500,026 : x
  2. Step 2: Convert to fraction form
    231,668/500,026 = 500,026/x
  3. Step 3: Cross multiply
    231,668x = 500,026 × 500,026
  4. Step 4: Simplify right side
    231,668x = 250,026,000,676
  5. Step 5: Solve for x
    x = 250,026,000,676/231,668
  6. Step 6: Final answer
    x = 1,079,242.71

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.