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Finding the Third Proportional to 362,085.75 and 770,949

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Solution

The third proportional to 362,085.75 and 770,949 is: 1,641,496.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    362,085.75 : 770,949 = 770,949 : x
  2. Step 2: Convert to fraction form
    362,085.75/770,949 = 770,949/x
  3. Step 3: Cross multiply
    362,085.75x = 770,949 × 770,949
  4. Step 4: Simplify right side
    362,085.75x = 594,362,360,601
  5. Step 5: Solve for x
    x = 594,362,360,601/362,085.75
  6. Step 6: Final answer
    x = 1,641,496.14

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These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.