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Finding the Third Proportional to 260,074.50 and 395,305.50

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Solution

The third proportional to 260,074.50 and 395,305.50 is: 600,852.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    260,074.50 : 395,305.50 = 395,305.50 : x
  2. Step 2: Convert to fraction form
    260,074.50/395,305.50 = 395,305.50/x
  3. Step 3: Cross multiply
    260,074.50x = 395,305.50 × 395,305.50
  4. Step 4: Simplify right side
    260,074.50x = 156,266,438,330.25
  5. Step 5: Solve for x
    x = 156,266,438,330.25/260,074.50
  6. Step 6: Final answer
    x = 600,852.60

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Why These Related Problems?

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