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Finding the Third Proportional to 323,400.50 and 680,314

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Solution

The third proportional to 323,400.50 and 680,314 is: 1,431,126.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    323,400.50 : 680,314 = 680,314 : x
  2. Step 2: Convert to fraction form
    323,400.50/680,314 = 680,314/x
  3. Step 3: Cross multiply
    323,400.50x = 680,314 × 680,314
  4. Step 4: Simplify right side
    323,400.50x = 462,827,138,596
  5. Step 5: Solve for x
    x = 462,827,138,596/323,400.50
  6. Step 6: Final answer
    x = 1,431,126.85

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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.