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Finding the Third Proportional to 206,584 and 443,300

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Solution

The third proportional to 206,584 and 443,300 is: 951,259.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,584 : 443,300 = 443,300 : x
  2. Step 2: Convert to fraction form
    206,584/443,300 = 443,300/x
  3. Step 3: Cross multiply
    206,584x = 443,300 × 443,300
  4. Step 4: Simplify right side
    206,584x = 196,514,890,000
  5. Step 5: Solve for x
    x = 196,514,890,000/206,584
  6. Step 6: Final answer
    x = 951,259.00

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.