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Finding the Third Proportional to 260,435.25 and 528,109.88

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Solution

The third proportional to 260,435.25 and 528,109.88 is: 1,070,899.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    260,435.25 : 528,109.88 = 528,109.88 : x
  2. Step 2: Convert to fraction form
    260,435.25/528,109.88 = 528,109.88/x
  3. Step 3: Cross multiply
    260,435.25x = 528,109.88 × 528,109.88
  4. Step 4: Simplify right side
    260,435.25x = 278,900,040,072.52
  5. Step 5: Solve for x
    x = 278,900,040,072.52/260,435.25
  6. Step 6: Final answer
    x = 1,070,899.73

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.