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Finding the Third Proportional to 299,852.50 and 644,168

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Solution

The third proportional to 299,852.50 and 644,168 is: 1,383,855.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,852.50 : 644,168 = 644,168 : x
  2. Step 2: Convert to fraction form
    299,852.50/644,168 = 644,168/x
  3. Step 3: Cross multiply
    299,852.50x = 644,168 × 644,168
  4. Step 4: Simplify right side
    299,852.50x = 414,952,412,224
  5. Step 5: Solve for x
    x = 414,952,412,224/299,852.50
  6. Step 6: Final answer
    x = 1,383,855.10

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.