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Finding the Third Proportional to 336,530 and 741,370

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Solution

The third proportional to 336,530 and 741,370 is: 1,633,225.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    336,530 : 741,370 = 741,370 : x
  2. Step 2: Convert to fraction form
    336,530/741,370 = 741,370/x
  3. Step 3: Cross multiply
    336,530x = 741,370 × 741,370
  4. Step 4: Simplify right side
    336,530x = 549,629,476,900
  5. Step 5: Solve for x
    x = 549,629,476,900/336,530
  6. Step 6: Final answer
    x = 1,633,225.80

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.