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Finding the Third Proportional to 231,624 and 503,856

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Solution

The third proportional to 231,624 and 503,856 is: 1,096,047.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    231,624 : 503,856 = 503,856 : x
  2. Step 2: Convert to fraction form
    231,624/503,856 = 503,856/x
  3. Step 3: Cross multiply
    231,624x = 503,856 × 503,856
  4. Step 4: Simplify right side
    231,624x = 253,870,868,736
  5. Step 5: Solve for x
    x = 253,870,868,736/231,624
  6. Step 6: Final answer
    x = 1,096,047.34

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.