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Finding the Third Proportional to 276,804 and 605,305.50

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Solution

The third proportional to 276,804 and 605,305.50 is: 1,323,661.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    276,804 : 605,305.50 = 605,305.50 : x
  2. Step 2: Convert to fraction form
    276,804/605,305.50 = 605,305.50/x
  3. Step 3: Cross multiply
    276,804x = 605,305.50 × 605,305.50
  4. Step 4: Simplify right side
    276,804x = 366,394,748,330.25
  5. Step 5: Solve for x
    x = 366,394,748,330.25/276,804
  6. Step 6: Final answer
    x = 1,323,661.32

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.