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Finding the Third Proportional to 446,257 and 670,361

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Solution

The third proportional to 446,257 and 670,361 is: 1,007,006.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    446,257 : 670,361 = 670,361 : x
  2. Step 2: Convert to fraction form
    446,257/670,361 = 670,361/x
  3. Step 3: Cross multiply
    446,257x = 670,361 × 670,361
  4. Step 4: Simplify right side
    446,257x = 449,383,870,321
  5. Step 5: Solve for x
    x = 449,383,870,321/446,257
  6. Step 6: Final answer
    x = 1,007,006.88

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.