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Finding the Third Proportional to 277,933 and 606,050

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Solution

The third proportional to 277,933 and 606,050 is: 1,321,529.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    277,933 : 606,050 = 606,050 : x
  2. Step 2: Convert to fraction form
    277,933/606,050 = 606,050/x
  3. Step 3: Cross multiply
    277,933x = 606,050 × 606,050
  4. Step 4: Simplify right side
    277,933x = 367,296,602,500
  5. Step 5: Solve for x
    x = 367,296,602,500/277,933
  6. Step 6: Final answer
    x = 1,321,529.30

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.