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Finding the Third Proportional to 344,811 and 758,742

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Solution

The third proportional to 344,811 and 758,742 is: 1,669,579.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    344,811 : 758,742 = 758,742 : x
  2. Step 2: Convert to fraction form
    344,811/758,742 = 758,742/x
  3. Step 3: Cross multiply
    344,811x = 758,742 × 758,742
  4. Step 4: Simplify right side
    344,811x = 575,689,422,564
  5. Step 5: Solve for x
    x = 575,689,422,564/344,811
  6. Step 6: Final answer
    x = 1,669,579.63

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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.