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Finding the Third Proportional to 265,850.44 and 397,036.69

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Solution

The third proportional to 265,850.44 and 397,036.69 is: 592,957.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    265,850.44 : 397,036.69 = 397,036.69 : x
  2. Step 2: Convert to fraction form
    265,850.44/397,036.69 = 397,036.69/x
  3. Step 3: Cross multiply
    265,850.44x = 397,036.69 × 397,036.69
  4. Step 4: Simplify right side
    265,850.44x = 157,638,131,220.97
  5. Step 5: Solve for x
    x = 157,638,131,220.97/265,850.44
  6. Step 6: Final answer
    x = 592,957.95

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.