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Finding the Third Proportional to 273,747 and 585,326

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Solution

The third proportional to 273,747 and 585,326 is: 1,251,544.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    273,747 : 585,326 = 585,326 : x
  2. Step 2: Convert to fraction form
    273,747/585,326 = 585,326/x
  3. Step 3: Cross multiply
    273,747x = 585,326 × 585,326
  4. Step 4: Simplify right side
    273,747x = 342,606,526,276
  5. Step 5: Solve for x
    x = 342,606,526,276/273,747
  6. Step 6: Final answer
    x = 1,251,544.41

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.