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Finding the Third Proportional to 600,032 and 1,305,280

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Solution

The third proportional to 600,032 and 1,305,280 is: 2,839,441.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    600,032 : 1,305,280 = 1,305,280 : x
  2. Step 2: Convert to fraction form
    600,032/1,305,280 = 1,305,280/x
  3. Step 3: Cross multiply
    600,032x = 1,305,280 × 1,305,280
  4. Step 4: Simplify right side
    600,032x = 1,703,755,878,400
  5. Step 5: Solve for x
    x = 1,703,755,878,400/600,032
  6. Step 6: Final answer
    x = 2,839,441.69

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.