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Finding the Third Proportional to 449,027 and 532,064

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Solution

The third proportional to 449,027 and 532,064 is: 630,456.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    449,027 : 532,064 = 532,064 : x
  2. Step 2: Convert to fraction form
    449,027/532,064 = 532,064/x
  3. Step 3: Cross multiply
    449,027x = 532,064 × 532,064
  4. Step 4: Simplify right side
    449,027x = 283,092,100,096
  5. Step 5: Solve for x
    x = 283,092,100,096/449,027
  6. Step 6: Final answer
    x = 630,456.74

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Why These Related Problems?

These problems maintain the same ratio (1.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.