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Finding the Third Proportional to 551,211 and 826,819.50

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Solution

The third proportional to 551,211 and 826,819.50 is: 1,240,233.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    551,211 : 826,819.50 = 826,819.50 : x
  2. Step 2: Convert to fraction form
    551,211/826,819.50 = 826,819.50/x
  3. Step 3: Cross multiply
    551,211x = 826,819.50 × 826,819.50
  4. Step 4: Simplify right side
    551,211x = 683,630,485,580.25
  5. Step 5: Solve for x
    x = 683,630,485,580.25/551,211
  6. Step 6: Final answer
    x = 1,240,233.75

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.