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Finding the Third Proportional to 240,848 and 529,366

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Solution

The third proportional to 240,848 and 529,366 is: 1,163,507.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    240,848 : 529,366 = 529,366 : x
  2. Step 2: Convert to fraction form
    240,848/529,366 = 529,366/x
  3. Step 3: Cross multiply
    240,848x = 529,366 × 529,366
  4. Step 4: Simplify right side
    240,848x = 280,228,361,956
  5. Step 5: Solve for x
    x = 280,228,361,956/240,848
  6. Step 6: Final answer
    x = 1,163,507.12

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.