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Finding the Third Proportional to 291,630.38 and 449,884.13

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Solution

The third proportional to 291,630.38 and 449,884.13 is: 694,014.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    291,630.38 : 449,884.13 = 449,884.13 : x
  2. Step 2: Convert to fraction form
    291,630.38/449,884.13 = 449,884.13/x
  3. Step 3: Cross multiply
    291,630.38x = 449,884.13 × 449,884.13
  4. Step 4: Simplify right side
    291,630.38x = 202,395,725,927.02
  5. Step 5: Solve for x
    x = 202,395,725,927.02/291,630.38
  6. Step 6: Final answer
    x = 694,014.56

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These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.