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Finding the Third Proportional to 536,523.75 and 751,983.75

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Solution

The third proportional to 536,523.75 and 751,983.75 is: 1,053,969.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    536,523.75 : 751,983.75 = 751,983.75 : x
  2. Step 2: Convert to fraction form
    536,523.75/751,983.75 = 751,983.75/x
  3. Step 3: Cross multiply
    536,523.75x = 751,983.75 × 751,983.75
  4. Step 4: Simplify right side
    536,523.75x = 565,479,560,264.06
  5. Step 5: Solve for x
    x = 565,479,560,264.06/536,523.75
  6. Step 6: Final answer
    x = 1,053,969.30

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.