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Finding the Third Proportional to 443,796.75 and 970,456.50

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Solution

The third proportional to 443,796.75 and 970,456.50 is: 2,122,110.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    443,796.75 : 970,456.50 = 970,456.50 : x
  2. Step 2: Convert to fraction form
    443,796.75/970,456.50 = 970,456.50/x
  3. Step 3: Cross multiply
    443,796.75x = 970,456.50 × 970,456.50
  4. Step 4: Simplify right side
    443,796.75x = 941,785,818,392.25
  5. Step 5: Solve for x
    x = 941,785,818,392.25/443,796.75
  6. Step 6: Final answer
    x = 2,122,110.67

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.