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Finding the Third Proportional to 274,868 and 596,736

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Solution

The third proportional to 274,868 and 596,736 is: 1,295,508.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    274,868 : 596,736 = 596,736 : x
  2. Step 2: Convert to fraction form
    274,868/596,736 = 596,736/x
  3. Step 3: Cross multiply
    274,868x = 596,736 × 596,736
  4. Step 4: Simplify right side
    274,868x = 356,093,853,696
  5. Step 5: Solve for x
    x = 356,093,853,696/274,868
  6. Step 6: Final answer
    x = 1,295,508.58

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.