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Finding the Third Proportional to 300,904.88 and 446,380.88

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Solution

The third proportional to 300,904.88 and 446,380.88 is: 662,188.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    300,904.88 : 446,380.88 = 446,380.88 : x
  2. Step 2: Convert to fraction form
    300,904.88/446,380.88 = 446,380.88/x
  3. Step 3: Cross multiply
    300,904.88x = 446,380.88 × 446,380.88
  4. Step 4: Simplify right side
    300,904.88x = 199,255,885,565.77
  5. Step 5: Solve for x
    x = 199,255,885,565.77/300,904.88
  6. Step 6: Final answer
    x = 662,188.96

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.