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Finding the Third Proportional to 305,328 and 467,058

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Solution

The third proportional to 305,328 and 467,058 is: 714,455.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    305,328 : 467,058 = 467,058 : x
  2. Step 2: Convert to fraction form
    305,328/467,058 = 467,058/x
  3. Step 3: Cross multiply
    305,328x = 467,058 × 467,058
  4. Step 4: Simplify right side
    305,328x = 218,143,175,364
  5. Step 5: Solve for x
    x = 218,143,175,364/305,328
  6. Step 6: Final answer
    x = 714,455.19

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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.