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Finding the Third Proportional to 323,338 and 680,172

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Solution

The third proportional to 323,338 and 680,172 is: 1,430,806.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    323,338 : 680,172 = 680,172 : x
  2. Step 2: Convert to fraction form
    323,338/680,172 = 680,172/x
  3. Step 3: Cross multiply
    323,338x = 680,172 × 680,172
  4. Step 4: Simplify right side
    323,338x = 462,633,949,584
  5. Step 5: Solve for x
    x = 462,633,949,584/323,338
  6. Step 6: Final answer
    x = 1,430,806.00

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These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.