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Finding the Third Proportional to 291,524.06 and 449,739.84

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Solution

The third proportional to 291,524.06 and 449,739.84 is: 693,822.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    291,524.06 : 449,739.84 = 449,739.84 : x
  2. Step 2: Convert to fraction form
    291,524.06/449,739.84 = 449,739.84/x
  3. Step 3: Cross multiply
    291,524.06x = 449,739.84 × 449,739.84
  4. Step 4: Simplify right side
    291,524.06x = 202,265,927,056.27
  5. Step 5: Solve for x
    x = 202,265,927,056.27/291,524.06
  6. Step 6: Final answer
    x = 693,822.41

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Why These Related Problems?

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