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Finding the Third Proportional to 291,241 and 441,372

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Solution

The third proportional to 291,241 and 441,372 is: 668,893.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    291,241 : 441,372 = 441,372 : x
  2. Step 2: Convert to fraction form
    291,241/441,372 = 441,372/x
  3. Step 3: Cross multiply
    291,241x = 441,372 × 441,372
  4. Step 4: Simplify right side
    291,241x = 194,809,242,384
  5. Step 5: Solve for x
    x = 194,809,242,384/291,241
  6. Step 6: Final answer
    x = 668,893.60

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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.