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Finding the Third Proportional to 300,473.30 and 648,360.07

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Solution

The third proportional to 300,473.30 and 648,360.07 is: 1,399,028.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    300,473.30 : 648,360.07 = 648,360.07 : x
  2. Step 2: Convert to fraction form
    300,473.30/648,360.07 = 648,360.07/x
  3. Step 3: Cross multiply
    300,473.30x = 648,360.07 × 648,360.07
  4. Step 4: Simplify right side
    300,473.30x = 420,370,780,775.63
  5. Step 5: Solve for x
    x = 420,370,780,775.63/300,473.30
  6. Step 6: Final answer
    x = 1,399,028.75

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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.