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Finding the Third Proportional to 351,200.25 and 755,718.75

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Solution

The third proportional to 351,200.25 and 755,718.75 is: 1,626,168.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    351,200.25 : 755,718.75 = 755,718.75 : x
  2. Step 2: Convert to fraction form
    351,200.25/755,718.75 = 755,718.75/x
  3. Step 3: Cross multiply
    351,200.25x = 755,718.75 × 755,718.75
  4. Step 4: Simplify right side
    351,200.25x = 571,110,829,101.56
  5. Step 5: Solve for x
    x = 571,110,829,101.56/351,200.25
  6. Step 6: Final answer
    x = 1,626,168.63

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.