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Finding the Third Proportional to 299,655.75 and 643,777.50

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Solution

The third proportional to 299,655.75 and 643,777.50 is: 1,383,085.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,655.75 : 643,777.50 = 643,777.50 : x
  2. Step 2: Convert to fraction form
    299,655.75/643,777.50 = 643,777.50/x
  3. Step 3: Cross multiply
    299,655.75x = 643,777.50 × 643,777.50
  4. Step 4: Simplify right side
    299,655.75x = 414,449,469,506.25
  5. Step 5: Solve for x
    x = 414,449,469,506.25/299,655.75
  6. Step 6: Final answer
    x = 1,383,085.32

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Why These Related Problems?

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