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Finding the Third Proportional to 823,135.50 and 1,228,506.75

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Solution

The third proportional to 823,135.50 and 1,228,506.75 is: 1,833,512.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    823,135.50 : 1,228,506.75 = 1,228,506.75 : x
  2. Step 2: Convert to fraction form
    823,135.50/1,228,506.75 = 1,228,506.75/x
  3. Step 3: Cross multiply
    823,135.50x = 1,228,506.75 × 1,228,506.75
  4. Step 4: Simplify right side
    823,135.50x = 1,509,228,834,795.56
  5. Step 5: Solve for x
    x = 1,509,228,834,795.56/823,135.50
  6. Step 6: Final answer
    x = 1,833,512.02

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.