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Finding the Third Proportional to 331,317 and 441,421.50

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Solution

The third proportional to 331,317 and 441,421.50 is: 588,116.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    331,317 : 441,421.50 = 441,421.50 : x
  2. Step 2: Convert to fraction form
    331,317/441,421.50 = 441,421.50/x
  3. Step 3: Cross multiply
    331,317x = 441,421.50 × 441,421.50
  4. Step 4: Simplify right side
    331,317x = 194,852,940,662.25
  5. Step 5: Solve for x
    x = 194,852,940,662.25/331,317
  6. Step 6: Final answer
    x = 588,116.34

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Why These Related Problems?

These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.