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Finding the Third Proportional to 380,804 and 836,340.50

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Solution

The third proportional to 380,804 and 836,340.50 is: 1,836,812.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    380,804 : 836,340.50 = 836,340.50 : x
  2. Step 2: Convert to fraction form
    380,804/836,340.50 = 836,340.50/x
  3. Step 3: Cross multiply
    380,804x = 836,340.50 × 836,340.50
  4. Step 4: Simplify right side
    380,804x = 699,465,431,940.25
  5. Step 5: Solve for x
    x = 699,465,431,940.25/380,804
  6. Step 6: Final answer
    x = 1,836,812.20

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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.