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Finding the Third Proportional to 301,372 and 466,945

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Solution

The third proportional to 301,372 and 466,945 is: 723,483.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    301,372 : 466,945 = 466,945 : x
  2. Step 2: Convert to fraction form
    301,372/466,945 = 466,945/x
  3. Step 3: Cross multiply
    301,372x = 466,945 × 466,945
  4. Step 4: Simplify right side
    301,372x = 218,037,633,025
  5. Step 5: Solve for x
    x = 218,037,633,025/301,372
  6. Step 6: Final answer
    x = 723,483.38

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.