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Finding the Third Proportional to 300,677.25 and 648,006

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Solution

The third proportional to 300,677.25 and 648,006 is: 1,396,553.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    300,677.25 : 648,006 = 648,006 : x
  2. Step 2: Convert to fraction form
    300,677.25/648,006 = 648,006/x
  3. Step 3: Cross multiply
    300,677.25x = 648,006 × 648,006
  4. Step 4: Simplify right side
    300,677.25x = 419,911,776,036
  5. Step 5: Solve for x
    x = 419,911,776,036/300,677.25
  6. Step 6: Final answer
    x = 1,396,553.20

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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.