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Finding the Third Proportional to 235,619 and 364,025

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Solution

The third proportional to 235,619 and 364,025 is: 562,408.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    235,619 : 364,025 = 364,025 : x
  2. Step 2: Convert to fraction form
    235,619/364,025 = 364,025/x
  3. Step 3: Cross multiply
    235,619x = 364,025 × 364,025
  4. Step 4: Simplify right side
    235,619x = 132,514,200,625
  5. Step 5: Solve for x
    x = 132,514,200,625/235,619
  6. Step 6: Final answer
    x = 562,408.81

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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.