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Finding the Third Proportional to 120,619 and 263,594

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Solution

The third proportional to 120,619 and 263,594 is: 576,043.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,619 : 263,594 = 263,594 : x
  2. Step 2: Convert to fraction form
    120,619/263,594 = 263,594/x
  3. Step 3: Cross multiply
    120,619x = 263,594 × 263,594
  4. Step 4: Simplify right side
    120,619x = 69,481,796,836
  5. Step 5: Solve for x
    x = 69,481,796,836/120,619
  6. Step 6: Final answer
    x = 576,043.55

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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.