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Finding the Third Proportional to 277,334 and 608,768

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Solution

The third proportional to 277,334 and 608,768 is: 1,336,289.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    277,334 : 608,768 = 608,768 : x
  2. Step 2: Convert to fraction form
    277,334/608,768 = 608,768/x
  3. Step 3: Cross multiply
    277,334x = 608,768 × 608,768
  4. Step 4: Simplify right side
    277,334x = 370,598,477,824
  5. Step 5: Solve for x
    x = 370,598,477,824/277,334
  6. Step 6: Final answer
    x = 1,336,289.38

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.