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Finding the Third Proportional to 238,208 and 504,064

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Solution

The third proportional to 238,208 and 504,064 is: 1,066,633.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    238,208 : 504,064 = 504,064 : x
  2. Step 2: Convert to fraction form
    238,208/504,064 = 504,064/x
  3. Step 3: Cross multiply
    238,208x = 504,064 × 504,064
  4. Step 4: Simplify right side
    238,208x = 254,080,516,096
  5. Step 5: Solve for x
    x = 254,080,516,096/238,208
  6. Step 6: Final answer
    x = 1,066,633.01

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.