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Finding the Third Proportional to 284,904 and 601,992

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Solution

The third proportional to 284,904 and 601,992 is: 1,271,987.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    284,904 : 601,992 = 601,992 : x
  2. Step 2: Convert to fraction form
    284,904/601,992 = 601,992/x
  3. Step 3: Cross multiply
    284,904x = 601,992 × 601,992
  4. Step 4: Simplify right side
    284,904x = 362,394,368,064
  5. Step 5: Solve for x
    x = 362,394,368,064/284,904
  6. Step 6: Final answer
    x = 1,271,987.65

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.