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Finding the Third Proportional to 580,450.50 and 836,068.50

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Solution

The third proportional to 580,450.50 and 836,068.50 is: 1,204,255.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    580,450.50 : 836,068.50 = 836,068.50 : x
  2. Step 2: Convert to fraction form
    580,450.50/836,068.50 = 836,068.50/x
  3. Step 3: Cross multiply
    580,450.50x = 836,068.50 × 836,068.50
  4. Step 4: Simplify right side
    580,450.50x = 699,010,536,692.25
  5. Step 5: Solve for x
    x = 699,010,536,692.25/580,450.50
  6. Step 6: Final answer
    x = 1,204,255.21

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.