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Finding the Third Proportional to 282,283.25 and 605,498.50

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Solution

The third proportional to 282,283.25 and 605,498.50 is: 1,298,796.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    282,283.25 : 605,498.50 = 605,498.50 : x
  2. Step 2: Convert to fraction form
    282,283.25/605,498.50 = 605,498.50/x
  3. Step 3: Cross multiply
    282,283.25x = 605,498.50 × 605,498.50
  4. Step 4: Simplify right side
    282,283.25x = 366,628,433,502.25
  5. Step 5: Solve for x
    x = 366,628,433,502.25/282,283.25
  6. Step 6: Final answer
    x = 1,298,796.27

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.