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Finding the Third Proportional to 207,817 and 448,064

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Solution

The third proportional to 207,817 and 448,064 is: 966,048.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    207,817 : 448,064 = 448,064 : x
  2. Step 2: Convert to fraction form
    207,817/448,064 = 448,064/x
  3. Step 3: Cross multiply
    207,817x = 448,064 × 448,064
  4. Step 4: Simplify right side
    207,817x = 200,761,348,096
  5. Step 5: Solve for x
    x = 200,761,348,096/207,817
  6. Step 6: Final answer
    x = 966,048.73

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Why These Related Problems?

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