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Finding the Third Proportional to 277,968 and 606,920

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Solution

The third proportional to 277,968 and 606,920 is: 1,325,159.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    277,968 : 606,920 = 606,920 : x
  2. Step 2: Convert to fraction form
    277,968/606,920 = 606,920/x
  3. Step 3: Cross multiply
    277,968x = 606,920 × 606,920
  4. Step 4: Simplify right side
    277,968x = 368,351,886,400
  5. Step 5: Solve for x
    x = 368,351,886,400/277,968
  6. Step 6: Final answer
    x = 1,325,159.32

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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.