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Finding the Third Proportional to 305,614 and 467,207

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Solution

The third proportional to 305,614 and 467,207 is: 714,242.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    305,614 : 467,207 = 467,207 : x
  2. Step 2: Convert to fraction form
    305,614/467,207 = 467,207/x
  3. Step 3: Cross multiply
    305,614x = 467,207 × 467,207
  4. Step 4: Simplify right side
    305,614x = 218,282,380,849
  5. Step 5: Solve for x
    x = 218,282,380,849/305,614
  6. Step 6: Final answer
    x = 714,242.09

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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.