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Finding the Third Proportional to 291,544 and 629,024

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Solution

The third proportional to 291,544 and 629,024 is: 1,357,157.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    291,544 : 629,024 = 629,024 : x
  2. Step 2: Convert to fraction form
    291,544/629,024 = 629,024/x
  3. Step 3: Cross multiply
    291,544x = 629,024 × 629,024
  4. Step 4: Simplify right side
    291,544x = 395,671,192,576
  5. Step 5: Solve for x
    x = 395,671,192,576/291,544
  6. Step 6: Final answer
    x = 1,357,157.73

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.