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Finding the Third Proportional to 206,985 and 443,490

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Solution

The third proportional to 206,985 and 443,490 is: 950,230.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,985 : 443,490 = 443,490 : x
  2. Step 2: Convert to fraction form
    206,985/443,490 = 443,490/x
  3. Step 3: Cross multiply
    206,985x = 443,490 × 443,490
  4. Step 4: Simplify right side
    206,985x = 196,683,380,100
  5. Step 5: Solve for x
    x = 196,683,380,100/206,985
  6. Step 6: Final answer
    x = 950,230.11

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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.