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Finding the Third Proportional to 332,311.50 and 728,959.50

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Solution

The third proportional to 332,311.50 and 728,959.50 is: 1,599,047.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    332,311.50 : 728,959.50 = 728,959.50 : x
  2. Step 2: Convert to fraction form
    332,311.50/728,959.50 = 728,959.50/x
  3. Step 3: Cross multiply
    332,311.50x = 728,959.50 × 728,959.50
  4. Step 4: Simplify right side
    332,311.50x = 531,381,952,640.25
  5. Step 5: Solve for x
    x = 531,381,952,640.25/332,311.50
  6. Step 6: Final answer
    x = 1,599,047.74

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.