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Finding the Third Proportional to 285,124 and 443,562

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Solution

The third proportional to 285,124 and 443,562 is: 690,040.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    285,124 : 443,562 = 443,562 : x
  2. Step 2: Convert to fraction form
    285,124/443,562 = 443,562/x
  3. Step 3: Cross multiply
    285,124x = 443,562 × 443,562
  4. Step 4: Simplify right side
    285,124x = 196,747,247,844
  5. Step 5: Solve for x
    x = 196,747,247,844/285,124
  6. Step 6: Final answer
    x = 690,040.99

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These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.