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Finding the Third Proportional to 323,761.50 and 686,974.50

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Solution

The third proportional to 323,761.50 and 686,974.50 is: 1,457,659.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    323,761.50 : 686,974.50 = 686,974.50 : x
  2. Step 2: Convert to fraction form
    323,761.50/686,974.50 = 686,974.50/x
  3. Step 3: Cross multiply
    323,761.50x = 686,974.50 × 686,974.50
  4. Step 4: Simplify right side
    323,761.50x = 471,933,963,650.25
  5. Step 5: Solve for x
    x = 471,933,963,650.25/323,761.50
  6. Step 6: Final answer
    x = 1,457,659.31

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.