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Finding the Third Proportional to 264,052 and 397,338

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Solution

The third proportional to 264,052 and 397,338 is: 597,903.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    264,052 : 397,338 = 397,338 : x
  2. Step 2: Convert to fraction form
    264,052/397,338 = 397,338/x
  3. Step 3: Cross multiply
    264,052x = 397,338 × 397,338
  4. Step 4: Simplify right side
    264,052x = 157,877,486,244
  5. Step 5: Solve for x
    x = 157,877,486,244/264,052
  6. Step 6: Final answer
    x = 597,903.01

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.