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Finding the Third Proportional to 277,003 and 595,381

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Solution

The third proportional to 277,003 and 595,381 is: 1,279,692.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    277,003 : 595,381 = 595,381 : x
  2. Step 2: Convert to fraction form
    277,003/595,381 = 595,381/x
  3. Step 3: Cross multiply
    277,003x = 595,381 × 595,381
  4. Step 4: Simplify right side
    277,003x = 354,478,535,161
  5. Step 5: Solve for x
    x = 354,478,535,161/277,003
  6. Step 6: Final answer
    x = 1,279,692.04

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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.