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Finding the Third Proportional to 536,571 and 752,052

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Solution

The third proportional to 536,571 and 752,052 is: 1,054,067.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    536,571 : 752,052 = 752,052 : x
  2. Step 2: Convert to fraction form
    536,571/752,052 = 752,052/x
  3. Step 3: Cross multiply
    536,571x = 752,052 × 752,052
  4. Step 4: Simplify right side
    536,571x = 565,582,210,704
  5. Step 5: Solve for x
    x = 565,582,210,704/536,571
  6. Step 6: Final answer
    x = 1,054,067.79

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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.