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Finding the Third Proportional to 299,264.63 and 449,185.50

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Solution

The third proportional to 299,264.63 and 449,185.50 is: 674,211.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,264.63 : 449,185.50 = 449,185.50 : x
  2. Step 2: Convert to fraction form
    299,264.63/449,185.50 = 449,185.50/x
  3. Step 3: Cross multiply
    299,264.63x = 449,185.50 × 449,185.50
  4. Step 4: Simplify right side
    299,264.63x = 201,767,613,410.25
  5. Step 5: Solve for x
    x = 201,767,613,410.25/299,264.63
  6. Step 6: Final answer
    x = 674,211.37

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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.