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Finding the Third Proportional to 264,456 and 397,260

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Solution

The third proportional to 264,456 and 397,260 is: 596,755.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    264,456 : 397,260 = 397,260 : x
  2. Step 2: Convert to fraction form
    264,456/397,260 = 397,260/x
  3. Step 3: Cross multiply
    264,456x = 397,260 × 397,260
  4. Step 4: Simplify right side
    264,456x = 157,815,507,600
  5. Step 5: Solve for x
    x = 157,815,507,600/264,456
  6. Step 6: Final answer
    x = 596,755.25

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Why These Related Problems?

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