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Finding the Third Proportional to 300,678.50 and 648,008

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Solution

The third proportional to 300,678.50 and 648,008 is: 1,396,556.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    300,678.50 : 648,008 = 648,008 : x
  2. Step 2: Convert to fraction form
    300,678.50/648,008 = 648,008/x
  3. Step 3: Cross multiply
    300,678.50x = 648,008 × 648,008
  4. Step 4: Simplify right side
    300,678.50x = 419,914,368,064
  5. Step 5: Solve for x
    x = 419,914,368,064/300,678.50
  6. Step 6: Final answer
    x = 1,396,556.02

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.