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Finding the Third Proportional to 733,965 and 1,033,591.50

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Solution

The third proportional to 733,965 and 1,033,591.50 is: 1,455,534.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    733,965 : 1,033,591.50 = 1,033,591.50 : x
  2. Step 2: Convert to fraction form
    733,965/1,033,591.50 = 1,033,591.50/x
  3. Step 3: Cross multiply
    733,965x = 1,033,591.50 × 1,033,591.50
  4. Step 4: Simplify right side
    733,965x = 1,068,311,388,872.25
  5. Step 5: Solve for x
    x = 1,068,311,388,872.25/733,965
  6. Step 6: Final answer
    x = 1,455,534.51

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.