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Finding the Third Proportional to 344,097 and 809,686

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Solution

The third proportional to 344,097 and 809,686 is: 1,905,251.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    344,097 : 809,686 = 809,686 : x
  2. Step 2: Convert to fraction form
    344,097/809,686 = 809,686/x
  3. Step 3: Cross multiply
    344,097x = 809,686 × 809,686
  4. Step 4: Simplify right side
    344,097x = 655,591,418,596
  5. Step 5: Solve for x
    x = 655,591,418,596/344,097
  6. Step 6: Final answer
    x = 1,905,251.77

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Why These Related Problems?

These problems maintain the same ratio (2.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.