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Finding the Third Proportional to 231,847.31 and 504,521.44

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Solution

The third proportional to 231,847.31 and 504,521.44 is: 1,097,885.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    231,847.31 : 504,521.44 = 504,521.44 : x
  2. Step 2: Convert to fraction form
    231,847.31/504,521.44 = 504,521.44/x
  3. Step 3: Cross multiply
    231,847.31x = 504,521.44 × 504,521.44
  4. Step 4: Simplify right side
    231,847.31x = 254,541,880,897.07
  5. Step 5: Solve for x
    x = 254,541,880,897.07/231,847.31
  6. Step 6: Final answer
    x = 1,097,885.84

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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.