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Finding the Third Proportional to 241,134 and 529,562

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Solution

The third proportional to 241,134 and 529,562 is: 1,162,987.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    241,134 : 529,562 = 529,562 : x
  2. Step 2: Convert to fraction form
    241,134/529,562 = 529,562/x
  3. Step 3: Cross multiply
    241,134x = 529,562 × 529,562
  4. Step 4: Simplify right side
    241,134x = 280,435,911,844
  5. Step 5: Solve for x
    x = 280,435,911,844/241,134
  6. Step 6: Final answer
    x = 1,162,987.85

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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.