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Finding the Third Proportional to 365,100 and 784,170

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Solution

The third proportional to 365,100 and 784,170 is: 1,684,257.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    365,100 : 784,170 = 784,170 : x
  2. Step 2: Convert to fraction form
    365,100/784,170 = 784,170/x
  3. Step 3: Cross multiply
    365,100x = 784,170 × 784,170
  4. Step 4: Simplify right side
    365,100x = 614,922,588,900
  5. Step 5: Solve for x
    x = 614,922,588,900/365,100
  6. Step 6: Final answer
    x = 1,684,257.98

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.