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Finding the Third Proportional to 365,104 and 784,180

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Solution

The third proportional to 365,104 and 784,180 is: 1,684,282.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    365,104 : 784,180 = 784,180 : x
  2. Step 2: Convert to fraction form
    365,104/784,180 = 784,180/x
  3. Step 3: Cross multiply
    365,104x = 784,180 × 784,180
  4. Step 4: Simplify right side
    365,104x = 614,938,272,400
  5. Step 5: Solve for x
    x = 614,938,272,400/365,104
  6. Step 6: Final answer
    x = 1,684,282.48

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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.