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Finding the Third Proportional to 580,194.75 and 886,967.25

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Solution

The third proportional to 580,194.75 and 886,967.25 is: 1,355,942.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    580,194.75 : 886,967.25 = 886,967.25 : x
  2. Step 2: Convert to fraction form
    580,194.75/886,967.25 = 886,967.25/x
  3. Step 3: Cross multiply
    580,194.75x = 886,967.25 × 886,967.25
  4. Step 4: Simplify right side
    580,194.75x = 786,710,902,572.56
  5. Step 5: Solve for x
    x = 786,710,902,572.56/580,194.75
  6. Step 6: Final answer
    x = 1,355,942.82

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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.