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Finding the Third Proportional to 277,968 and 606,120

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Solution

The third proportional to 277,968 and 606,120 is: 1,321,668.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    277,968 : 606,120 = 606,120 : x
  2. Step 2: Convert to fraction form
    277,968/606,120 = 606,120/x
  3. Step 3: Cross multiply
    277,968x = 606,120 × 606,120
  4. Step 4: Simplify right side
    277,968x = 367,381,454,400
  5. Step 5: Solve for x
    x = 367,381,454,400/277,968
  6. Step 6: Final answer
    x = 1,321,668.16

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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.