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Finding the Third Proportional to 600,480 and 1,305,504

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Solution

The third proportional to 600,480 and 1,305,504 is: 2,838,297.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    600,480 : 1,305,504 = 1,305,504 : x
  2. Step 2: Convert to fraction form
    600,480/1,305,504 = 1,305,504/x
  3. Step 3: Cross multiply
    600,480x = 1,305,504 × 1,305,504
  4. Step 4: Simplify right side
    600,480x = 1,704,340,694,016
  5. Step 5: Solve for x
    x = 1,704,340,694,016/600,480
  6. Step 6: Final answer
    x = 2,838,297.19

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.