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Finding the Third Proportional to 285,446 and 444,510

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Solution

The third proportional to 285,446 and 444,510 is: 692,211.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    285,446 : 444,510 = 444,510 : x
  2. Step 2: Convert to fraction form
    285,446/444,510 = 444,510/x
  3. Step 3: Cross multiply
    285,446x = 444,510 × 444,510
  4. Step 4: Simplify right side
    285,446x = 197,589,140,100
  5. Step 5: Solve for x
    x = 197,589,140,100/285,446
  6. Step 6: Final answer
    x = 692,211.98

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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.