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Finding the Third Proportional to 350,151.75 and 768,883.50

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Solution

The third proportional to 350,151.75 and 768,883.50 is: 1,688,358.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    350,151.75 : 768,883.50 = 768,883.50 : x
  2. Step 2: Convert to fraction form
    350,151.75/768,883.50 = 768,883.50/x
  3. Step 3: Cross multiply
    350,151.75x = 768,883.50 × 768,883.50
  4. Step 4: Simplify right side
    350,151.75x = 591,181,836,572.25
  5. Step 5: Solve for x
    x = 591,181,836,572.25/350,151.75
  6. Step 6: Final answer
    x = 1,688,358.94

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.