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Finding the Third Proportional to 265,723.25 and 403,505.75

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Solution

The third proportional to 265,723.25 and 403,505.75 is: 612,731.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    265,723.25 : 403,505.75 = 403,505.75 : x
  2. Step 2: Convert to fraction form
    265,723.25/403,505.75 = 403,505.75/x
  3. Step 3: Cross multiply
    265,723.25x = 403,505.75 × 403,505.75
  4. Step 4: Simplify right side
    265,723.25x = 162,816,890,283.06
  5. Step 5: Solve for x
    x = 162,816,890,283.06/265,723.25
  6. Step 6: Final answer
    x = 612,731.07

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These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.