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Finding the Third Proportional to 231,456 and 503,898

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Solution

The third proportional to 231,456 and 503,898 is: 1,097,025.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    231,456 : 503,898 = 503,898 : x
  2. Step 2: Convert to fraction form
    231,456/503,898 = 503,898/x
  3. Step 3: Cross multiply
    231,456x = 503,898 × 503,898
  4. Step 4: Simplify right side
    231,456x = 253,913,194,404
  5. Step 5: Solve for x
    x = 253,913,194,404/231,456
  6. Step 6: Final answer
    x = 1,097,025.76

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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.