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Finding the Third Proportional to 474,064 and 733,848

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Solution

The third proportional to 474,064 and 733,848 is: 1,135,991.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    474,064 : 733,848 = 733,848 : x
  2. Step 2: Convert to fraction form
    474,064/733,848 = 733,848/x
  3. Step 3: Cross multiply
    474,064x = 733,848 × 733,848
  4. Step 4: Simplify right side
    474,064x = 538,532,887,104
  5. Step 5: Solve for x
    x = 538,532,887,104/474,064
  6. Step 6: Final answer
    x = 1,135,991.95

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.