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Finding the Third Proportional to 233,011 and 504,105

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Solution

The third proportional to 233,011 and 504,105 is: 1,090,600.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    233,011 : 504,105 = 504,105 : x
  2. Step 2: Convert to fraction form
    233,011/504,105 = 504,105/x
  3. Step 3: Cross multiply
    233,011x = 504,105 × 504,105
  4. Step 4: Simplify right side
    233,011x = 254,121,851,025
  5. Step 5: Solve for x
    x = 254,121,851,025/233,011
  6. Step 6: Final answer
    x = 1,090,600.23

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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.