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Finding the Third Proportional to 260,435.25 and 552,845.25

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Solution

The third proportional to 260,435.25 and 552,845.25 is: 1,173,565.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    260,435.25 : 552,845.25 = 552,845.25 : x
  2. Step 2: Convert to fraction form
    260,435.25/552,845.25 = 552,845.25/x
  3. Step 3: Cross multiply
    260,435.25x = 552,845.25 × 552,845.25
  4. Step 4: Simplify right side
    260,435.25x = 305,637,870,447.56
  5. Step 5: Solve for x
    x = 305,637,870,447.56/260,435.25
  6. Step 6: Final answer
    x = 1,173,565.68

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.