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Finding the Third Proportional to 241,138 and 529,569

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Solution

The third proportional to 241,138 and 529,569 is: 1,162,999.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    241,138 : 529,569 = 529,569 : x
  2. Step 2: Convert to fraction form
    241,138/529,569 = 529,569/x
  3. Step 3: Cross multiply
    241,138x = 529,569 × 529,569
  4. Step 4: Simplify right side
    241,138x = 280,443,325,761
  5. Step 5: Solve for x
    x = 280,443,325,761/241,138
  6. Step 6: Final answer
    x = 1,162,999.30

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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.