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Finding the Third Proportional to 282,778.50 and 666,968.50

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Solution

The third proportional to 282,778.50 and 666,968.50 is: 1,573,128.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    282,778.50 : 666,968.50 = 666,968.50 : x
  2. Step 2: Convert to fraction form
    282,778.50/666,968.50 = 666,968.50/x
  3. Step 3: Cross multiply
    282,778.50x = 666,968.50 × 666,968.50
  4. Step 4: Simplify right side
    282,778.50x = 444,846,979,992.25
  5. Step 5: Solve for x
    x = 444,846,979,992.25/282,778.50
  6. Step 6: Final answer
    x = 1,573,128.72

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These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.