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Finding the Third Proportional to 305,274 and 466,977

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Solution

The third proportional to 305,274 and 466,977 is: 714,333.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    305,274 : 466,977 = 466,977 : x
  2. Step 2: Convert to fraction form
    305,274/466,977 = 466,977/x
  3. Step 3: Cross multiply
    305,274x = 466,977 × 466,977
  4. Step 4: Simplify right side
    305,274x = 218,067,518,529
  5. Step 5: Solve for x
    x = 218,067,518,529/305,274
  6. Step 6: Final answer
    x = 714,333.74

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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.