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Finding the Third Proportional to 289,648 and 614,256

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Solution

The third proportional to 289,648 and 614,256 is: 1,302,651.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    289,648 : 614,256 = 614,256 : x
  2. Step 2: Convert to fraction form
    289,648/614,256 = 614,256/x
  3. Step 3: Cross multiply
    289,648x = 614,256 × 614,256
  4. Step 4: Simplify right side
    289,648x = 377,310,433,536
  5. Step 5: Solve for x
    x = 377,310,433,536/289,648
  6. Step 6: Final answer
    x = 1,302,651.61

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.