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Finding the Third Proportional to 305,238 and 466,965

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Solution

The third proportional to 305,238 and 466,965 is: 714,381.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    305,238 : 466,965 = 466,965 : x
  2. Step 2: Convert to fraction form
    305,238/466,965 = 466,965/x
  3. Step 3: Cross multiply
    305,238x = 466,965 × 466,965
  4. Step 4: Simplify right side
    305,238x = 218,056,311,225
  5. Step 5: Solve for x
    x = 218,056,311,225/305,238
  6. Step 6: Final answer
    x = 714,381.27

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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.