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Finding the Third Proportional to 350,027.50 and 763,407

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Solution

The third proportional to 350,027.50 and 763,407 is: 1,664,984.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    350,027.50 : 763,407 = 763,407 : x
  2. Step 2: Convert to fraction form
    350,027.50/763,407 = 763,407/x
  3. Step 3: Cross multiply
    350,027.50x = 763,407 × 763,407
  4. Step 4: Simplify right side
    350,027.50x = 582,790,247,649
  5. Step 5: Solve for x
    x = 582,790,247,649/350,027.50
  6. Step 6: Final answer
    x = 1,664,984.17

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.