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Finding the Third Proportional to 277,093 and 595,625

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Solution

The third proportional to 277,093 and 595,625 is: 1,280,325.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    277,093 : 595,625 = 595,625 : x
  2. Step 2: Convert to fraction form
    277,093/595,625 = 595,625/x
  3. Step 3: Cross multiply
    277,093x = 595,625 × 595,625
  4. Step 4: Simplify right side
    277,093x = 354,769,140,625
  5. Step 5: Solve for x
    x = 354,769,140,625/277,093
  6. Step 6: Final answer
    x = 1,280,325.16

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.