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Finding the Third Proportional to 253,211.25 and 400,958.25

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Solution

The third proportional to 253,211.25 and 400,958.25 is: 634,914.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    253,211.25 : 400,958.25 = 400,958.25 : x
  2. Step 2: Convert to fraction form
    253,211.25/400,958.25 = 400,958.25/x
  3. Step 3: Cross multiply
    253,211.25x = 400,958.25 × 400,958.25
  4. Step 4: Simplify right side
    253,211.25x = 160,767,518,243.06
  5. Step 5: Solve for x
    x = 160,767,518,243.06/253,211.25
  6. Step 6: Final answer
    x = 634,914.59

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These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.