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Finding the Third Proportional to 243,999 and 503,064

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Solution

The third proportional to 243,999 and 503,064 is: 1,037,190.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    243,999 : 503,064 = 503,064 : x
  2. Step 2: Convert to fraction form
    243,999/503,064 = 503,064/x
  3. Step 3: Cross multiply
    243,999x = 503,064 × 503,064
  4. Step 4: Simplify right side
    243,999x = 253,073,388,096
  5. Step 5: Solve for x
    x = 253,073,388,096/243,999
  6. Step 6: Final answer
    x = 1,037,190.27

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Why These Related Problems?

These problems maintain the same ratio (2.06) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.