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Finding the Third Proportional to 323,385 and 680,288

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Solution

The third proportional to 323,385 and 680,288 is: 1,431,086.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    323,385 : 680,288 = 680,288 : x
  2. Step 2: Convert to fraction form
    323,385/680,288 = 680,288/x
  3. Step 3: Cross multiply
    323,385x = 680,288 × 680,288
  4. Step 4: Simplify right side
    323,385x = 462,791,762,944
  5. Step 5: Solve for x
    x = 462,791,762,944/323,385
  6. Step 6: Final answer
    x = 1,431,086.05

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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.