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Finding the Third Proportional to 277,093.88 and 599,728.50

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Solution

The third proportional to 277,093.88 and 599,728.50 is: 1,298,023.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    277,093.88 : 599,728.50 = 599,728.50 : x
  2. Step 2: Convert to fraction form
    277,093.88/599,728.50 = 599,728.50/x
  3. Step 3: Cross multiply
    277,093.88x = 599,728.50 × 599,728.50
  4. Step 4: Simplify right side
    277,093.88x = 359,674,273,712.25
  5. Step 5: Solve for x
    x = 359,674,273,712.25/277,093.88
  6. Step 6: Final answer
    x = 1,298,023.18

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.