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Finding the Third Proportional to 514,296 and 751,338

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Solution

The third proportional to 514,296 and 751,338 is: 1,097,634.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    514,296 : 751,338 = 751,338 : x
  2. Step 2: Convert to fraction form
    514,296/751,338 = 751,338/x
  3. Step 3: Cross multiply
    514,296x = 751,338 × 751,338
  4. Step 4: Simplify right side
    514,296x = 564,508,790,244
  5. Step 5: Solve for x
    x = 564,508,790,244/514,296
  6. Step 6: Final answer
    x = 1,097,634.03

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.