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Finding the Third Proportional to 733,857.38 and 1,033,431

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Solution

The third proportional to 733,857.38 and 1,033,431 is: 1,455,295.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    733,857.38 : 1,033,431 = 1,033,431 : x
  2. Step 2: Convert to fraction form
    733,857.38/1,033,431 = 1,033,431/x
  3. Step 3: Cross multiply
    733,857.38x = 1,033,431 × 1,033,431
  4. Step 4: Simplify right side
    733,857.38x = 1,067,979,631,761
  5. Step 5: Solve for x
    x = 1,067,979,631,761/733,857.38
  6. Step 6: Final answer
    x = 1,455,295.90

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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.