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Finding the Third Proportional to 284,972 and 444,710

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Solution

The third proportional to 284,972 and 444,710 is: 693,987.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    284,972 : 444,710 = 444,710 : x
  2. Step 2: Convert to fraction form
    284,972/444,710 = 444,710/x
  3. Step 3: Cross multiply
    284,972x = 444,710 × 444,710
  4. Step 4: Simplify right side
    284,972x = 197,766,984,100
  5. Step 5: Solve for x
    x = 197,766,984,100/284,972
  6. Step 6: Final answer
    x = 693,987.42

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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.