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Finding the Third Proportional to 543,944 and 764,642

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Solution

The third proportional to 543,944 and 764,642 is: 1,074,885.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    543,944 : 764,642 = 764,642 : x
  2. Step 2: Convert to fraction form
    543,944/764,642 = 764,642/x
  3. Step 3: Cross multiply
    543,944x = 764,642 × 764,642
  4. Step 4: Simplify right side
    543,944x = 584,677,388,164
  5. Step 5: Solve for x
    x = 584,677,388,164/543,944
  6. Step 6: Final answer
    x = 1,074,885.26

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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.