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Finding the Third Proportional to 350,106.75 and 398,220.75

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Solution

The third proportional to 350,106.75 and 398,220.75 is: 452,946.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    350,106.75 : 398,220.75 = 398,220.75 : x
  2. Step 2: Convert to fraction form
    350,106.75/398,220.75 = 398,220.75/x
  3. Step 3: Cross multiply
    350,106.75x = 398,220.75 × 398,220.75
  4. Step 4: Simplify right side
    350,106.75x = 158,579,765,730.56
  5. Step 5: Solve for x
    x = 158,579,765,730.56/350,106.75
  6. Step 6: Final answer
    x = 452,946.90

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These problems maintain the same ratio (1.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.