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Finding the Third Proportional to 350,380 and 768,584

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Solution

The third proportional to 350,380 and 768,584 is: 1,685,944.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    350,380 : 768,584 = 768,584 : x
  2. Step 2: Convert to fraction form
    350,380/768,584 = 768,584/x
  3. Step 3: Cross multiply
    350,380x = 768,584 × 768,584
  4. Step 4: Simplify right side
    350,380x = 590,721,365,056
  5. Step 5: Solve for x
    x = 590,721,365,056/350,380
  6. Step 6: Final answer
    x = 1,685,944.87

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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.