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Finding the Third Proportional to 206,918 and 443,365

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Solution

The third proportional to 206,918 and 443,365 is: 950,002.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,918 : 443,365 = 443,365 : x
  2. Step 2: Convert to fraction form
    206,918/443,365 = 443,365/x
  3. Step 3: Cross multiply
    206,918x = 443,365 × 443,365
  4. Step 4: Simplify right side
    206,918x = 196,572,523,225
  5. Step 5: Solve for x
    x = 196,572,523,225/206,918
  6. Step 6: Final answer
    x = 950,002.05

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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.