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Finding the Third Proportional to 332,551.50 and 727,311

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Solution

The third proportional to 332,551.50 and 727,311 is: 1,590,674.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    332,551.50 : 727,311 = 727,311 : x
  2. Step 2: Convert to fraction form
    332,551.50/727,311 = 727,311/x
  3. Step 3: Cross multiply
    332,551.50x = 727,311 × 727,311
  4. Step 4: Simplify right side
    332,551.50x = 528,981,290,721
  5. Step 5: Solve for x
    x = 528,981,290,721/332,551.50
  6. Step 6: Final answer
    x = 1,590,674.80

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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.