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Finding the Third Proportional to 351,124 and 769,100

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Solution

The third proportional to 351,124 and 769,100 is: 1,684,632.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    351,124 : 769,100 = 769,100 : x
  2. Step 2: Convert to fraction form
    351,124/769,100 = 769,100/x
  3. Step 3: Cross multiply
    351,124x = 769,100 × 769,100
  4. Step 4: Simplify right side
    351,124x = 591,514,810,000
  5. Step 5: Solve for x
    x = 591,514,810,000/351,124
  6. Step 6: Final answer
    x = 1,684,632.24

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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.