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Finding the Third Proportional to 273,530 and 568,804

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Solution

The third proportional to 273,530 and 568,804 is: 1,182,824.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    273,530 : 568,804 = 568,804 : x
  2. Step 2: Convert to fraction form
    273,530/568,804 = 568,804/x
  3. Step 3: Cross multiply
    273,530x = 568,804 × 568,804
  4. Step 4: Simplify right side
    273,530x = 323,537,990,416
  5. Step 5: Solve for x
    x = 323,537,990,416/273,530
  6. Step 6: Final answer
    x = 1,182,824.52

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.