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Finding the Third Proportional to 323,912.53 and 508,077.28

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Solution

The third proportional to 323,912.53 and 508,077.28 is: 796,951.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    323,912.53 : 508,077.28 = 508,077.28 : x
  2. Step 2: Convert to fraction form
    323,912.53/508,077.28 = 508,077.28/x
  3. Step 3: Cross multiply
    323,912.53x = 508,077.28 × 508,077.28
  4. Step 4: Simplify right side
    323,912.53x = 258,142,523,722.39
  5. Step 5: Solve for x
    x = 258,142,523,722.39/323,912.53
  6. Step 6: Final answer
    x = 796,951.33

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.