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Finding the Third Proportional to 297,365.63 and 444,749.06

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Solution

The third proportional to 297,365.63 and 444,749.06 is: 665,180.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    297,365.63 : 444,749.06 = 444,749.06 : x
  2. Step 2: Convert to fraction form
    297,365.63/444,749.06 = 444,749.06/x
  3. Step 3: Cross multiply
    297,365.63x = 444,749.06 × 444,749.06
  4. Step 4: Simplify right side
    297,365.63x = 197,801,728,594.63
  5. Step 5: Solve for x
    x = 197,801,728,594.63/297,365.63
  6. Step 6: Final answer
    x = 665,180.21

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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.