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Finding the Third Proportional to 342,670.50 and 789,770.25

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Solution

The third proportional to 342,670.50 and 789,770.25 is: 1,820,223.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    342,670.50 : 789,770.25 = 789,770.25 : x
  2. Step 2: Convert to fraction form
    342,670.50/789,770.25 = 789,770.25/x
  3. Step 3: Cross multiply
    342,670.50x = 789,770.25 × 789,770.25
  4. Step 4: Simplify right side
    342,670.50x = 623,737,047,785.06
  5. Step 5: Solve for x
    x = 623,737,047,785.06/342,670.50
  6. Step 6: Final answer
    x = 1,820,223.94

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These problems maintain the same ratio (2.30) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.