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Finding the Third Proportional to 231,897.94 and 508,629.38

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Solution

The third proportional to 231,897.94 and 508,629.38 is: 1,115,593.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    231,897.94 : 508,629.38 = 508,629.38 : x
  2. Step 2: Convert to fraction form
    231,897.94/508,629.38 = 508,629.38/x
  3. Step 3: Cross multiply
    231,897.94x = 508,629.38 × 508,629.38
  4. Step 4: Simplify right side
    231,897.94x = 258,703,841,112.89
  5. Step 5: Solve for x
    x = 258,703,841,112.89/231,897.94
  6. Step 6: Final answer
    x = 1,115,593.54

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.