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Finding the Third Proportional to 259,270.50 and 399,969

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Solution

The third proportional to 259,270.50 and 399,969 is: 617,020.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    259,270.50 : 399,969 = 399,969 : x
  2. Step 2: Convert to fraction form
    259,270.50/399,969 = 399,969/x
  3. Step 3: Cross multiply
    259,270.50x = 399,969 × 399,969
  4. Step 4: Simplify right side
    259,270.50x = 159,975,200,961
  5. Step 5: Solve for x
    x = 159,975,200,961/259,270.50
  6. Step 6: Final answer
    x = 617,020.45

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These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.