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Finding the Third Proportional to 446,328 and 624,276

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Solution

The third proportional to 446,328 and 624,276 is: 873,170.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    446,328 : 624,276 = 624,276 : x
  2. Step 2: Convert to fraction form
    446,328/624,276 = 624,276/x
  3. Step 3: Cross multiply
    446,328x = 624,276 × 624,276
  4. Step 4: Simplify right side
    446,328x = 389,720,524,176
  5. Step 5: Solve for x
    x = 389,720,524,176/446,328
  6. Step 6: Final answer
    x = 873,170.68

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.