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Finding the Third Proportional to 241,657.50 and 529,794

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Solution

The third proportional to 241,657.50 and 529,794 is: 1,161,485.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    241,657.50 : 529,794 = 529,794 : x
  2. Step 2: Convert to fraction form
    241,657.50/529,794 = 529,794/x
  3. Step 3: Cross multiply
    241,657.50x = 529,794 × 529,794
  4. Step 4: Simplify right side
    241,657.50x = 280,681,682,436
  5. Step 5: Solve for x
    x = 280,681,682,436/241,657.50
  6. Step 6: Final answer
    x = 1,161,485.50

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.