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Finding the Third Proportional to 350,408.25 and 754,123.50

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Solution

The third proportional to 350,408.25 and 754,123.50 is: 1,622,970.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    350,408.25 : 754,123.50 = 754,123.50 : x
  2. Step 2: Convert to fraction form
    350,408.25/754,123.50 = 754,123.50/x
  3. Step 3: Cross multiply
    350,408.25x = 754,123.50 × 754,123.50
  4. Step 4: Simplify right side
    350,408.25x = 568,702,253,252.25
  5. Step 5: Solve for x
    x = 568,702,253,252.25/350,408.25
  6. Step 6: Final answer
    x = 1,622,970.50

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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.