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Finding the Third Proportional to 382,800.94 and 838,866.38

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Solution

The third proportional to 382,800.94 and 838,866.38 is: 1,838,283.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    382,800.94 : 838,866.38 = 838,866.38 : x
  2. Step 2: Convert to fraction form
    382,800.94/838,866.38 = 838,866.38/x
  3. Step 3: Cross multiply
    382,800.94x = 838,866.38 × 838,866.38
  4. Step 4: Simplify right side
    382,800.94x = 703,696,795,105.64
  5. Step 5: Solve for x
    x = 703,696,795,105.64/382,800.94
  6. Step 6: Final answer
    x = 1,838,283.89

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.