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Finding the Third Proportional to 305,616 and 467,208

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Solution

The third proportional to 305,616 and 467,208 is: 714,240.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    305,616 : 467,208 = 467,208 : x
  2. Step 2: Convert to fraction form
    305,616/467,208 = 467,208/x
  3. Step 3: Cross multiply
    305,616x = 467,208 × 467,208
  4. Step 4: Simplify right side
    305,616x = 218,283,315,264
  5. Step 5: Solve for x
    x = 218,283,315,264/305,616
  6. Step 6: Final answer
    x = 714,240.47

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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.