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Finding the Third Proportional to 205,018 and 443,731

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Solution

The third proportional to 205,018 and 443,731 is: 960,389.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,018 : 443,731 = 443,731 : x
  2. Step 2: Convert to fraction form
    205,018/443,731 = 443,731/x
  3. Step 3: Cross multiply
    205,018x = 443,731 × 443,731
  4. Step 4: Simplify right side
    205,018x = 196,897,200,361
  5. Step 5: Solve for x
    x = 196,897,200,361/205,018
  6. Step 6: Final answer
    x = 960,389.82

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.