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Finding the Third Proportional to 240,828 and 529,325

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Solution

The third proportional to 240,828 and 529,325 is: 1,163,423.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    240,828 : 529,325 = 529,325 : x
  2. Step 2: Convert to fraction form
    240,828/529,325 = 529,325/x
  3. Step 3: Cross multiply
    240,828x = 529,325 × 529,325
  4. Step 4: Simplify right side
    240,828x = 280,184,955,625
  5. Step 5: Solve for x
    x = 280,184,955,625/240,828
  6. Step 6: Final answer
    x = 1,163,423.50

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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.