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Finding the Third Proportional to 277,749.50 and 596,932.50

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Solution

The third proportional to 277,749.50 and 596,932.50 is: 1,282,912.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    277,749.50 : 596,932.50 = 596,932.50 : x
  2. Step 2: Convert to fraction form
    277,749.50/596,932.50 = 596,932.50/x
  3. Step 3: Cross multiply
    277,749.50x = 596,932.50 × 596,932.50
  4. Step 4: Simplify right side
    277,749.50x = 356,328,409,556.25
  5. Step 5: Solve for x
    x = 356,328,409,556.25/277,749.50
  6. Step 6: Final answer
    x = 1,282,912.87

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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.