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Finding the Third Proportional to 264,536.50 and 397,408

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Solution

The third proportional to 264,536.50 and 397,408 is: 597,018.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    264,536.50 : 397,408 = 397,408 : x
  2. Step 2: Convert to fraction form
    264,536.50/397,408 = 397,408/x
  3. Step 3: Cross multiply
    264,536.50x = 397,408 × 397,408
  4. Step 4: Simplify right side
    264,536.50x = 157,933,118,464
  5. Step 5: Solve for x
    x = 157,933,118,464/264,536.50
  6. Step 6: Final answer
    x = 597,018.25

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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.