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Finding the Third Proportional to 331,243.88 and 714,945.38

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Solution

The third proportional to 331,243.88 and 714,945.38 is: 1,543,113.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    331,243.88 : 714,945.38 = 714,945.38 : x
  2. Step 2: Convert to fraction form
    331,243.88/714,945.38 = 714,945.38/x
  3. Step 3: Cross multiply
    331,243.88x = 714,945.38 × 714,945.38
  4. Step 4: Simplify right side
    331,243.88x = 511,146,889,233.89
  5. Step 5: Solve for x
    x = 511,146,889,233.89/331,243.88
  6. Step 6: Final answer
    x = 1,543,113.48

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.