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Finding the Third Proportional to 208,634.48 and 446,789.67

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Solution

The third proportional to 208,634.48 and 446,789.67 is: 956,797.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,634.48 : 446,789.67 = 446,789.67 : x
  2. Step 2: Convert to fraction form
    208,634.48/446,789.67 = 446,789.67/x
  3. Step 3: Cross multiply
    208,634.48x = 446,789.67 × 446,789.67
  4. Step 4: Simplify right side
    208,634.48x = 199,621,010,894.17
  5. Step 5: Solve for x
    x = 199,621,010,894.17/208,634.48
  6. Step 6: Final answer
    x = 956,797.78

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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.