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Finding the Third Proportional to 324,045 and 444,991.50

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Solution

The third proportional to 324,045 and 444,991.50 is: 611,080.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    324,045 : 444,991.50 = 444,991.50 : x
  2. Step 2: Convert to fraction form
    324,045/444,991.50 = 444,991.50/x
  3. Step 3: Cross multiply
    324,045x = 444,991.50 × 444,991.50
  4. Step 4: Simplify right side
    324,045x = 198,017,435,072.25
  5. Step 5: Solve for x
    x = 198,017,435,072.25/324,045
  6. Step 6: Final answer
    x = 611,080.05

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.