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Finding the Third Proportional to 206,970.75 and 443,479.50

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Solution

The third proportional to 206,970.75 and 443,479.50 is: 950,250.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,970.75 : 443,479.50 = 443,479.50 : x
  2. Step 2: Convert to fraction form
    206,970.75/443,479.50 = 443,479.50/x
  3. Step 3: Cross multiply
    206,970.75x = 443,479.50 × 443,479.50
  4. Step 4: Simplify right side
    206,970.75x = 196,674,066,920.25
  5. Step 5: Solve for x
    x = 196,674,066,920.25/206,970.75
  6. Step 6: Final answer
    x = 950,250.54

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These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.