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Finding the Third Proportional to 283,500 and 443,718

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Solution

The third proportional to 283,500 and 443,718 is: 694,482.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    283,500 : 443,718 = 443,718 : x
  2. Step 2: Convert to fraction form
    283,500/443,718 = 443,718/x
  3. Step 3: Cross multiply
    283,500x = 443,718 × 443,718
  4. Step 4: Simplify right side
    283,500x = 196,885,663,524
  5. Step 5: Solve for x
    x = 196,885,663,524/283,500
  6. Step 6: Final answer
    x = 694,482.06

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These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.