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Finding the Third Proportional to 384,745.50 and 834,696

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Solution

The third proportional to 384,745.50 and 834,696 is: 1,810,852.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    384,745.50 : 834,696 = 834,696 : x
  2. Step 2: Convert to fraction form
    384,745.50/834,696 = 834,696/x
  3. Step 3: Cross multiply
    384,745.50x = 834,696 × 834,696
  4. Step 4: Simplify right side
    384,745.50x = 696,717,412,416
  5. Step 5: Solve for x
    x = 696,717,412,416/384,745.50
  6. Step 6: Final answer
    x = 1,810,852.66

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.