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Finding the Third Proportional to 320,178 and 463,734

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Solution

The third proportional to 320,178 and 463,734 is: 671,655.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    320,178 : 463,734 = 463,734 : x
  2. Step 2: Convert to fraction form
    320,178/463,734 = 463,734/x
  3. Step 3: Cross multiply
    320,178x = 463,734 × 463,734
  4. Step 4: Simplify right side
    320,178x = 215,049,222,756
  5. Step 5: Solve for x
    x = 215,049,222,756/320,178
  6. Step 6: Final answer
    x = 671,655.21

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Why These Related Problems?

These problems maintain the same ratio (1.45) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.