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Finding the Third Proportional to 321,738 and 489,525

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Solution

The third proportional to 321,738 and 489,525 is: 744,813.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    321,738 : 489,525 = 489,525 : x
  2. Step 2: Convert to fraction form
    321,738/489,525 = 489,525/x
  3. Step 3: Cross multiply
    321,738x = 489,525 × 489,525
  4. Step 4: Simplify right side
    321,738x = 239,634,725,625
  5. Step 5: Solve for x
    x = 239,634,725,625/321,738
  6. Step 6: Final answer
    x = 744,813.25

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.