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Finding the Third Proportional to 208,524.75 and 446,575.50

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Solution

The third proportional to 208,524.75 and 446,575.50 is: 956,383.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,524.75 : 446,575.50 = 446,575.50 : x
  2. Step 2: Convert to fraction form
    208,524.75/446,575.50 = 446,575.50/x
  3. Step 3: Cross multiply
    208,524.75x = 446,575.50 × 446,575.50
  4. Step 4: Simplify right side
    208,524.75x = 199,429,677,200.25
  5. Step 5: Solve for x
    x = 199,429,677,200.25/208,524.75
  6. Step 6: Final answer
    x = 956,383.73

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.