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Finding the Third Proportional to 380,802.94 and 836,338.50

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Solution

The third proportional to 380,802.94 and 836,338.50 is: 1,836,808.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    380,802.94 : 836,338.50 = 836,338.50 : x
  2. Step 2: Convert to fraction form
    380,802.94/836,338.50 = 836,338.50/x
  3. Step 3: Cross multiply
    380,802.94x = 836,338.50 × 836,338.50
  4. Step 4: Simplify right side
    380,802.94x = 699,462,086,582.25
  5. Step 5: Solve for x
    x = 699,462,086,582.25/380,802.94
  6. Step 6: Final answer
    x = 1,836,808.54

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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.