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Finding the Third Proportional to 300,612 and 450,090

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Solution

The third proportional to 300,612 and 450,090 is: 673,895.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    300,612 : 450,090 = 450,090 : x
  2. Step 2: Convert to fraction form
    300,612/450,090 = 450,090/x
  3. Step 3: Cross multiply
    300,612x = 450,090 × 450,090
  4. Step 4: Simplify right side
    300,612x = 202,581,008,100
  5. Step 5: Solve for x
    x = 202,581,008,100/300,612
  6. Step 6: Final answer
    x = 673,895.28

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.