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Finding the Third Proportional to 244,578 and 529,852

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Solution

The third proportional to 244,578 and 529,852 is: 1,147,867.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    244,578 : 529,852 = 529,852 : x
  2. Step 2: Convert to fraction form
    244,578/529,852 = 529,852/x
  3. Step 3: Cross multiply
    244,578x = 529,852 × 529,852
  4. Step 4: Simplify right side
    244,578x = 280,743,141,904
  5. Step 5: Solve for x
    x = 280,743,141,904/244,578
  6. Step 6: Final answer
    x = 1,147,867.52

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.