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Finding the Third Proportional to 300,546 and 450,063

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Solution

The third proportional to 300,546 and 450,063 is: 673,962.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    300,546 : 450,063 = 450,063 : x
  2. Step 2: Convert to fraction form
    300,546/450,063 = 450,063/x
  3. Step 3: Cross multiply
    300,546x = 450,063 × 450,063
  4. Step 4: Simplify right side
    300,546x = 202,556,703,969
  5. Step 5: Solve for x
    x = 202,556,703,969/300,546
  6. Step 6: Final answer
    x = 673,962.40

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Why These Related Problems?

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