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Finding the Third Proportional to 344,199 and 483,852

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Solution

The third proportional to 344,199 and 483,852 is: 680,166.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    344,199 : 483,852 = 483,852 : x
  2. Step 2: Convert to fraction form
    344,199/483,852 = 483,852/x
  3. Step 3: Cross multiply
    344,199x = 483,852 × 483,852
  4. Step 4: Simplify right side
    344,199x = 234,112,757,904
  5. Step 5: Solve for x
    x = 234,112,757,904/344,199
  6. Step 6: Final answer
    x = 680,166.87

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.