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Finding the Third Proportional to 241,144 and 529,580

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Solution

The third proportional to 241,144 and 529,580 is: 1,163,018.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    241,144 : 529,580 = 529,580 : x
  2. Step 2: Convert to fraction form
    241,144/529,580 = 529,580/x
  3. Step 3: Cross multiply
    241,144x = 529,580 × 529,580
  4. Step 4: Simplify right side
    241,144x = 280,454,976,400
  5. Step 5: Solve for x
    x = 280,454,976,400/241,144
  6. Step 6: Final answer
    x = 1,163,018.68

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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.