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Finding the Third Proportional to 283,601.25 and 598,185

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Solution

The third proportional to 283,601.25 and 598,185 is: 1,261,719.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    283,601.25 : 598,185 = 598,185 : x
  2. Step 2: Convert to fraction form
    283,601.25/598,185 = 598,185/x
  3. Step 3: Cross multiply
    283,601.25x = 598,185 × 598,185
  4. Step 4: Simplify right side
    283,601.25x = 357,825,294,225
  5. Step 5: Solve for x
    x = 357,825,294,225/283,601.25
  6. Step 6: Final answer
    x = 1,261,719.74

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These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.