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Finding the Third Proportional to 379,154.75 and 825,263.50

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Solution

The third proportional to 379,154.75 and 825,263.50 is: 1,796,258.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    379,154.75 : 825,263.50 = 825,263.50 : x
  2. Step 2: Convert to fraction form
    379,154.75/825,263.50 = 825,263.50/x
  3. Step 3: Cross multiply
    379,154.75x = 825,263.50 × 825,263.50
  4. Step 4: Simplify right side
    379,154.75x = 681,059,844,432.25
  5. Step 5: Solve for x
    x = 681,059,844,432.25/379,154.75
  6. Step 6: Final answer
    x = 1,796,258.24

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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.