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Finding the Third Proportional to 297,334 and 641,324

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Solution

The third proportional to 297,334 and 641,324 is: 1,383,281.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    297,334 : 641,324 = 641,324 : x
  2. Step 2: Convert to fraction form
    297,334/641,324 = 641,324/x
  3. Step 3: Cross multiply
    297,334x = 641,324 × 641,324
  4. Step 4: Simplify right side
    297,334x = 411,296,472,976
  5. Step 5: Solve for x
    x = 411,296,472,976/297,334
  6. Step 6: Final answer
    x = 1,383,281.00

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.