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Finding the Third Proportional to 303,799.50 and 654,345

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Solution

The third proportional to 303,799.50 and 654,345 is: 1,409,374.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    303,799.50 : 654,345 = 654,345 : x
  2. Step 2: Convert to fraction form
    303,799.50/654,345 = 654,345/x
  3. Step 3: Cross multiply
    303,799.50x = 654,345 × 654,345
  4. Step 4: Simplify right side
    303,799.50x = 428,167,379,025
  5. Step 5: Solve for x
    x = 428,167,379,025/303,799.50
  6. Step 6: Final answer
    x = 1,409,374.86

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.