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Finding the Third Proportional to 350,893.90 and 754,201.76

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Solution

The third proportional to 350,893.90 and 754,201.76 is: 1,621,060.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    350,893.90 : 754,201.76 = 754,201.76 : x
  2. Step 2: Convert to fraction form
    350,893.90/754,201.76 = 754,201.76/x
  3. Step 3: Cross multiply
    350,893.90x = 754,201.76 × 754,201.76
  4. Step 4: Simplify right side
    350,893.90x = 568,820,291,487.47
  5. Step 5: Solve for x
    x = 568,820,291,487.47/350,893.90
  6. Step 6: Final answer
    x = 1,621,060.65

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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.