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Finding the Third Proportional to 305,918 and 673,004

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Solution

The third proportional to 305,918 and 673,004 is: 1,480,574.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    305,918 : 673,004 = 673,004 : x
  2. Step 2: Convert to fraction form
    305,918/673,004 = 673,004/x
  3. Step 3: Cross multiply
    305,918x = 673,004 × 673,004
  4. Step 4: Simplify right side
    305,918x = 452,934,384,016
  5. Step 5: Solve for x
    x = 452,934,384,016/305,918
  6. Step 6: Final answer
    x = 1,480,574.48

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.