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Finding the Third Proportional to 233,749.13 and 504,866.25

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Solution

The third proportional to 233,749.13 and 504,866.25 is: 1,090,442.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    233,749.13 : 504,866.25 = 504,866.25 : x
  2. Step 2: Convert to fraction form
    233,749.13/504,866.25 = 504,866.25/x
  3. Step 3: Cross multiply
    233,749.13x = 504,866.25 × 504,866.25
  4. Step 4: Simplify right side
    233,749.13x = 254,889,930,389.06
  5. Step 5: Solve for x
    x = 254,889,930,389.06/233,749.13
  6. Step 6: Final answer
    x = 1,090,442.29

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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.