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Finding the Third Proportional to 580,200 and 886,980

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Solution

The third proportional to 580,200 and 886,980 is: 1,355,969.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    580,200 : 886,980 = 886,980 : x
  2. Step 2: Convert to fraction form
    580,200/886,980 = 886,980/x
  3. Step 3: Cross multiply
    580,200x = 886,980 × 886,980
  4. Step 4: Simplify right side
    580,200x = 786,733,520,400
  5. Step 5: Solve for x
    x = 786,733,520,400/580,200
  6. Step 6: Final answer
    x = 1,355,969.53

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.