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Finding the Third Proportional to 260,408.50 and 570,671

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Solution

The third proportional to 260,408.50 and 570,671 is: 1,250,594.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    260,408.50 : 570,671 = 570,671 : x
  2. Step 2: Convert to fraction form
    260,408.50/570,671 = 570,671/x
  3. Step 3: Cross multiply
    260,408.50x = 570,671 × 570,671
  4. Step 4: Simplify right side
    260,408.50x = 325,665,390,241
  5. Step 5: Solve for x
    x = 325,665,390,241/260,408.50
  6. Step 6: Final answer
    x = 1,250,594.32

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.