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Finding the Third Proportional to 282,580 and 396,094

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Solution

The third proportional to 282,580 and 396,094 is: 555,207.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    282,580 : 396,094 = 396,094 : x
  2. Step 2: Convert to fraction form
    282,580/396,094 = 396,094/x
  3. Step 3: Cross multiply
    282,580x = 396,094 × 396,094
  4. Step 4: Simplify right side
    282,580x = 156,890,456,836
  5. Step 5: Solve for x
    x = 156,890,456,836/282,580
  6. Step 6: Final answer
    x = 555,207.22

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These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.