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Finding the Third Proportional to 350,403.75 and 754,114.50

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Solution

The third proportional to 350,403.75 and 754,114.50 is: 1,622,952.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    350,403.75 : 754,114.50 = 754,114.50 : x
  2. Step 2: Convert to fraction form
    350,403.75/754,114.50 = 754,114.50/x
  3. Step 3: Cross multiply
    350,403.75x = 754,114.50 × 754,114.50
  4. Step 4: Simplify right side
    350,403.75x = 568,688,679,110.25
  5. Step 5: Solve for x
    x = 568,688,679,110.25/350,403.75
  6. Step 6: Final answer
    x = 1,622,952.61

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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.