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Finding the Third Proportional to 464,793.75 and 985,396.50

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Solution

The third proportional to 464,793.75 and 985,396.50 is: 2,089,112.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    464,793.75 : 985,396.50 = 985,396.50 : x
  2. Step 2: Convert to fraction form
    464,793.75/985,396.50 = 985,396.50/x
  3. Step 3: Cross multiply
    464,793.75x = 985,396.50 × 985,396.50
  4. Step 4: Simplify right side
    464,793.75x = 971,006,262,212.25
  5. Step 5: Solve for x
    x = 971,006,262,212.25/464,793.75
  6. Step 6: Final answer
    x = 2,089,112.13

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These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.