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Finding the Third Proportional to 309,997 and 479,064

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Solution

The third proportional to 309,997 and 479,064 is: 740,337.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    309,997 : 479,064 = 479,064 : x
  2. Step 2: Convert to fraction form
    309,997/479,064 = 479,064/x
  3. Step 3: Cross multiply
    309,997x = 479,064 × 479,064
  4. Step 4: Simplify right side
    309,997x = 229,502,316,096
  5. Step 5: Solve for x
    x = 229,502,316,096/309,997
  6. Step 6: Final answer
    x = 740,337.22

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.