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Finding the Third Proportional to 331,333 and 441,445

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Solution

The third proportional to 331,333 and 441,445 is: 588,150.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    331,333 : 441,445 = 441,445 : x
  2. Step 2: Convert to fraction form
    331,333/441,445 = 441,445/x
  3. Step 3: Cross multiply
    331,333x = 441,445 × 441,445
  4. Step 4: Simplify right side
    331,333x = 194,873,688,025
  5. Step 5: Solve for x
    x = 194,873,688,025/331,333
  6. Step 6: Final answer
    x = 588,150.56

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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.