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Finding the Third Proportional to 351,071.72 and 755,469.28

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Solution

The third proportional to 351,071.72 and 755,469.28 is: 1,625,690.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    351,071.72 : 755,469.28 = 755,469.28 : x
  2. Step 2: Convert to fraction form
    351,071.72/755,469.28 = 755,469.28/x
  3. Step 3: Cross multiply
    351,071.72x = 755,469.28 × 755,469.28
  4. Step 4: Simplify right side
    351,071.72x = 570,733,834,912.39
  5. Step 5: Solve for x
    x = 570,733,834,912.39/351,071.72
  6. Step 6: Final answer
    x = 1,625,690.15

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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.