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Finding the Third Proportional to 350,961.75 and 768,717

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Solution

The third proportional to 350,961.75 and 768,717 is: 1,683,732.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    350,961.75 : 768,717 = 768,717 : x
  2. Step 2: Convert to fraction form
    350,961.75/768,717 = 768,717/x
  3. Step 3: Cross multiply
    350,961.75x = 768,717 × 768,717
  4. Step 4: Simplify right side
    350,961.75x = 590,925,826,089
  5. Step 5: Solve for x
    x = 590,925,826,089/350,961.75
  6. Step 6: Final answer
    x = 1,683,732.85

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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.