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Finding the Third Proportional to 446,255 and 670,358

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Solution

The third proportional to 446,255 and 670,358 is: 1,007,002.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    446,255 : 670,358 = 670,358 : x
  2. Step 2: Convert to fraction form
    446,255/670,358 = 670,358/x
  3. Step 3: Cross multiply
    446,255x = 670,358 × 670,358
  4. Step 4: Simplify right side
    446,255x = 449,379,848,164
  5. Step 5: Solve for x
    x = 449,379,848,164/446,255
  6. Step 6: Final answer
    x = 1,007,002.38

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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.