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Finding the Third Proportional to 351,094 and 768,860

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Solution

The third proportional to 351,094 and 768,860 is: 1,683,724.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    351,094 : 768,860 = 768,860 : x
  2. Step 2: Convert to fraction form
    351,094/768,860 = 768,860/x
  3. Step 3: Cross multiply
    351,094x = 768,860 × 768,860
  4. Step 4: Simplify right side
    351,094x = 591,145,699,600
  5. Step 5: Solve for x
    x = 591,145,699,600/351,094
  6. Step 6: Final answer
    x = 1,683,724.87

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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.