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Finding the Third Proportional to 241,147.13 and 529,584.75

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Solution

The third proportional to 241,147.13 and 529,584.75 is: 1,163,024.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    241,147.13 : 529,584.75 = 529,584.75 : x
  2. Step 2: Convert to fraction form
    241,147.13/529,584.75 = 529,584.75/x
  3. Step 3: Cross multiply
    241,147.13x = 529,584.75 × 529,584.75
  4. Step 4: Simplify right side
    241,147.13x = 280,460,007,432.56
  5. Step 5: Solve for x
    x = 280,460,007,432.56/241,147.13
  6. Step 6: Final answer
    x = 1,163,024.47

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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.