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Finding the Third Proportional to 260,070.75 and 395,300.25

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Solution

The third proportional to 260,070.75 and 395,300.25 is: 600,845.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    260,070.75 : 395,300.25 = 395,300.25 : x
  2. Step 2: Convert to fraction form
    260,070.75/395,300.25 = 395,300.25/x
  3. Step 3: Cross multiply
    260,070.75x = 395,300.25 × 395,300.25
  4. Step 4: Simplify right side
    260,070.75x = 156,262,287,650.06
  5. Step 5: Solve for x
    x = 156,262,287,650.06/260,070.75
  6. Step 6: Final answer
    x = 600,845.30

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These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.