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Finding the Third Proportional to 536,916 and 751,036

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Solution

The third proportional to 536,916 and 751,036 is: 1,050,546.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    536,916 : 751,036 = 751,036 : x
  2. Step 2: Convert to fraction form
    536,916/751,036 = 751,036/x
  3. Step 3: Cross multiply
    536,916x = 751,036 × 751,036
  4. Step 4: Simplify right side
    536,916x = 564,055,073,296
  5. Step 5: Solve for x
    x = 564,055,073,296/536,916
  6. Step 6: Final answer
    x = 1,050,546.22

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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.