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Finding the Third Proportional to 291,526 and 449,743

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Solution

The third proportional to 291,526 and 449,743 is: 693,827.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    291,526 : 449,743 = 449,743 : x
  2. Step 2: Convert to fraction form
    291,526/449,743 = 449,743/x
  3. Step 3: Cross multiply
    291,526x = 449,743 × 449,743
  4. Step 4: Simplify right side
    291,526x = 202,268,766,049
  5. Step 5: Solve for x
    x = 202,268,766,049/291,526
  6. Step 6: Final answer
    x = 693,827.54

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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.