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Finding the Third Proportional to 233,012 and 504,110

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Solution

The third proportional to 233,012 and 504,110 is: 1,090,617.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    233,012 : 504,110 = 504,110 : x
  2. Step 2: Convert to fraction form
    233,012/504,110 = 504,110/x
  3. Step 3: Cross multiply
    233,012x = 504,110 × 504,110
  4. Step 4: Simplify right side
    233,012x = 254,126,892,100
  5. Step 5: Solve for x
    x = 254,126,892,100/233,012
  6. Step 6: Final answer
    x = 1,090,617.19

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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.