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Finding the Third Proportional to 350,817.75 and 743,043.38

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Solution

The third proportional to 350,817.75 and 743,043.38 is: 1,573,789.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    350,817.75 : 743,043.38 = 743,043.38 : x
  2. Step 2: Convert to fraction form
    350,817.75/743,043.38 = 743,043.38/x
  3. Step 3: Cross multiply
    350,817.75x = 743,043.38 × 743,043.38
  4. Step 4: Simplify right side
    350,817.75x = 552,113,457,131.39
  5. Step 5: Solve for x
    x = 552,113,457,131.39/350,817.75
  6. Step 6: Final answer
    x = 1,573,789.97

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.