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Finding the Third Proportional to 831,123 and 1,109,200.50

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Solution

The third proportional to 831,123 and 1,109,200.50 is: 1,480,317.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    831,123 : 1,109,200.50 = 1,109,200.50 : x
  2. Step 2: Convert to fraction form
    831,123/1,109,200.50 = 1,109,200.50/x
  3. Step 3: Cross multiply
    831,123x = 1,109,200.50 × 1,109,200.50
  4. Step 4: Simplify right side
    831,123x = 1,230,325,749,200.25
  5. Step 5: Solve for x
    x = 1,230,325,749,200.25/831,123
  6. Step 6: Final answer
    x = 1,480,317.29

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These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.