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Finding the Third Proportional to 633,276.56 and 933,165.56

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Solution

The third proportional to 633,276.56 and 933,165.56 is: 1,375,067.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    633,276.56 : 933,165.56 = 933,165.56 : x
  2. Step 2: Convert to fraction form
    633,276.56/933,165.56 = 933,165.56/x
  3. Step 3: Cross multiply
    633,276.56x = 933,165.56 × 933,165.56
  4. Step 4: Simplify right side
    633,276.56x = 870,797,967,035.94
  5. Step 5: Solve for x
    x = 870,797,967,035.94/633,276.56
  6. Step 6: Final answer
    x = 1,375,067.42

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.