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Finding the Third Proportional to 298,852.50 and 449,406

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Solution

The third proportional to 298,852.50 and 449,406 is: 675,804.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    298,852.50 : 449,406 = 449,406 : x
  2. Step 2: Convert to fraction form
    298,852.50/449,406 = 449,406/x
  3. Step 3: Cross multiply
    298,852.50x = 449,406 × 449,406
  4. Step 4: Simplify right side
    298,852.50x = 201,965,752,836
  5. Step 5: Solve for x
    x = 201,965,752,836/298,852.50
  6. Step 6: Final answer
    x = 675,804.13

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.