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Finding the Third Proportional to 233,751.94 and 504,865.13

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Solution

The third proportional to 233,751.94 and 504,865.13 is: 1,090,424.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    233,751.94 : 504,865.13 = 504,865.13 : x
  2. Step 2: Convert to fraction form
    233,751.94/504,865.13 = 504,865.13/x
  3. Step 3: Cross multiply
    233,751.94x = 504,865.13 × 504,865.13
  4. Step 4: Simplify right side
    233,751.94x = 254,888,794,441.27
  5. Step 5: Solve for x
    x = 254,888,794,441.27/233,751.94
  6. Step 6: Final answer
    x = 1,090,424.31

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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.