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Finding the Third Proportional to 277,326 and 608,751

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Solution

The third proportional to 277,326 and 608,751 is: 1,336,253.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    277,326 : 608,751 = 608,751 : x
  2. Step 2: Convert to fraction form
    277,326/608,751 = 608,751/x
  3. Step 3: Cross multiply
    277,326x = 608,751 × 608,751
  4. Step 4: Simplify right side
    277,326x = 370,577,780,001
  5. Step 5: Solve for x
    x = 370,577,780,001/277,326
  6. Step 6: Final answer
    x = 1,336,253.29

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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.