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Finding the Third Proportional to 241,555.50 and 561,485.25

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Solution

The third proportional to 241,555.50 and 561,485.25 is: 1,305,148.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    241,555.50 : 561,485.25 = 561,485.25 : x
  2. Step 2: Convert to fraction form
    241,555.50/561,485.25 = 561,485.25/x
  3. Step 3: Cross multiply
    241,555.50x = 561,485.25 × 561,485.25
  4. Step 4: Simplify right side
    241,555.50x = 315,265,685,967.56
  5. Step 5: Solve for x
    x = 315,265,685,967.56/241,555.50
  6. Step 6: Final answer
    x = 1,305,148.03

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Why These Related Problems?

These problems maintain the same ratio (2.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.