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Finding the Third Proportional to 262,072 and 568,640

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Solution

The third proportional to 262,072 and 568,640 is: 1,233,826.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    262,072 : 568,640 = 568,640 : x
  2. Step 2: Convert to fraction form
    262,072/568,640 = 568,640/x
  3. Step 3: Cross multiply
    262,072x = 568,640 × 568,640
  4. Step 4: Simplify right side
    262,072x = 323,351,449,600
  5. Step 5: Solve for x
    x = 323,351,449,600/262,072
  6. Step 6: Final answer
    x = 1,233,826.77

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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.