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Finding the Third Proportional to 341,910.75 and 744,025.50

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Solution

The third proportional to 341,910.75 and 744,025.50 is: 1,619,059.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    341,910.75 : 744,025.50 = 744,025.50 : x
  2. Step 2: Convert to fraction form
    341,910.75/744,025.50 = 744,025.50/x
  3. Step 3: Cross multiply
    341,910.75x = 744,025.50 × 744,025.50
  4. Step 4: Simplify right side
    341,910.75x = 553,573,944,650.25
  5. Step 5: Solve for x
    x = 553,573,944,650.25/341,910.75
  6. Step 6: Final answer
    x = 1,619,059.78

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