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Finding the Third Proportional to 324,027 and 444,973.50

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Solution

The third proportional to 324,027 and 444,973.50 is: 611,064.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    324,027 : 444,973.50 = 444,973.50 : x
  2. Step 2: Convert to fraction form
    324,027/444,973.50 = 444,973.50/x
  3. Step 3: Cross multiply
    324,027x = 444,973.50 × 444,973.50
  4. Step 4: Simplify right side
    324,027x = 198,001,415,702.25
  5. Step 5: Solve for x
    x = 198,001,415,702.25/324,027
  6. Step 6: Final answer
    x = 611,064.56

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