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Finding the Third Proportional to 441,736 and 688,848

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Solution

The third proportional to 441,736 and 688,848 is: 1,074,197.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    441,736 : 688,848 = 688,848 : x
  2. Step 2: Convert to fraction form
    441,736/688,848 = 688,848/x
  3. Step 3: Cross multiply
    441,736x = 688,848 × 688,848
  4. Step 4: Simplify right side
    441,736x = 474,511,567,104
  5. Step 5: Solve for x
    x = 474,511,567,104/441,736
  6. Step 6: Final answer
    x = 1,074,197.18

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.