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Finding the Third Proportional to 291,245 and 441,378

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Solution

The third proportional to 291,245 and 441,378 is: 668,902.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    291,245 : 441,378 = 441,378 : x
  2. Step 2: Convert to fraction form
    291,245/441,378 = 441,378/x
  3. Step 3: Cross multiply
    291,245x = 441,378 × 441,378
  4. Step 4: Simplify right side
    291,245x = 194,814,538,884
  5. Step 5: Solve for x
    x = 194,814,538,884/291,245
  6. Step 6: Final answer
    x = 668,902.60

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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.