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Finding the Third Proportional to 758,503.41 and 1,629,568.97

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Solution

The third proportional to 758,503.41 and 1,629,568.97 is: 3,500,966.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    758,503.41 : 1,629,568.97 = 1,629,568.97 : x
  2. Step 2: Convert to fraction form
    758,503.41/1,629,568.97 = 1,629,568.97/x
  3. Step 3: Cross multiply
    758,503.41x = 1,629,568.97 × 1,629,568.97
  4. Step 4: Simplify right side
    758,503.41x = 2,655,495,023,912.94
  5. Step 5: Solve for x
    x = 2,655,495,023,912.94/758,503.41
  6. Step 6: Final answer
    x = 3,500,966.51

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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.