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Finding the Third Proportional to 291,237 and 441,366

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Solution

The third proportional to 291,237 and 441,366 is: 668,884.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    291,237 : 441,366 = 441,366 : x
  2. Step 2: Convert to fraction form
    291,237/441,366 = 441,366/x
  3. Step 3: Cross multiply
    291,237x = 441,366 × 441,366
  4. Step 4: Simplify right side
    291,237x = 194,803,945,956
  5. Step 5: Solve for x
    x = 194,803,945,956/291,237
  6. Step 6: Final answer
    x = 668,884.61

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.