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Finding the Third Proportional to 350,620.31 and 757,312.88

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Solution

The third proportional to 350,620.31 and 757,312.88 is: 1,635,737.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    350,620.31 : 757,312.88 = 757,312.88 : x
  2. Step 2: Convert to fraction form
    350,620.31/757,312.88 = 757,312.88/x
  3. Step 3: Cross multiply
    350,620.31x = 757,312.88 × 757,312.88
  4. Step 4: Simplify right side
    350,620.31x = 573,522,790,640.77
  5. Step 5: Solve for x
    x = 573,522,790,640.77/350,620.31
  6. Step 6: Final answer
    x = 1,635,737.49

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.