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Finding the Third Proportional to 344,099 and 809,691

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Solution

The third proportional to 344,099 and 809,691 is: 1,905,264.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    344,099 : 809,691 = 809,691 : x
  2. Step 2: Convert to fraction form
    344,099/809,691 = 809,691/x
  3. Step 3: Cross multiply
    344,099x = 809,691 × 809,691
  4. Step 4: Simplify right side
    344,099x = 655,599,515,481
  5. Step 5: Solve for x
    x = 655,599,515,481/344,099
  6. Step 6: Final answer
    x = 1,905,264.23

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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.