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Finding the Third Proportional to 305,297 and 467,011

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Solution

The third proportional to 305,297 and 467,011 is: 714,383.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    305,297 : 467,011 = 467,011 : x
  2. Step 2: Convert to fraction form
    305,297/467,011 = 467,011/x
  3. Step 3: Cross multiply
    305,297x = 467,011 × 467,011
  4. Step 4: Simplify right side
    305,297x = 218,099,274,121
  5. Step 5: Solve for x
    x = 218,099,274,121/305,297
  6. Step 6: Final answer
    x = 714,383.94

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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.