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Finding the Third Proportional to 441,764 and 666,329

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Solution

The third proportional to 441,764 and 666,329 is: 1,005,048.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    441,764 : 666,329 = 666,329 : x
  2. Step 2: Convert to fraction form
    441,764/666,329 = 666,329/x
  3. Step 3: Cross multiply
    441,764x = 666,329 × 666,329
  4. Step 4: Simplify right side
    441,764x = 443,994,336,241
  5. Step 5: Solve for x
    x = 443,994,336,241/441,764
  6. Step 6: Final answer
    x = 1,005,048.71

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.