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Finding the Third Proportional to 237,965 and 364,483

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Solution

The third proportional to 237,965 and 364,483 is: 558,266.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    237,965 : 364,483 = 364,483 : x
  2. Step 2: Convert to fraction form
    237,965/364,483 = 364,483/x
  3. Step 3: Cross multiply
    237,965x = 364,483 × 364,483
  4. Step 4: Simplify right side
    237,965x = 132,847,857,289
  5. Step 5: Solve for x
    x = 132,847,857,289/237,965
  6. Step 6: Final answer
    x = 558,266.37

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.