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Finding the Third Proportional to 330,677.44 and 446,801.06

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Solution

The third proportional to 330,677.44 and 446,801.06 is: 603,703.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    330,677.44 : 446,801.06 = 446,801.06 : x
  2. Step 2: Convert to fraction form
    330,677.44/446,801.06 = 446,801.06/x
  3. Step 3: Cross multiply
    330,677.44x = 446,801.06 × 446,801.06
  4. Step 4: Simplify right side
    330,677.44x = 199,631,189,451.13
  5. Step 5: Solve for x
    x = 199,631,189,451.13/330,677.44
  6. Step 6: Final answer
    x = 603,703.69

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These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.