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Finding the Third Proportional to 320,180 and 463,737

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Solution

The third proportional to 320,180 and 463,737 is: 671,659.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    320,180 : 463,737 = 463,737 : x
  2. Step 2: Convert to fraction form
    320,180/463,737 = 463,737/x
  3. Step 3: Cross multiply
    320,180x = 463,737 × 463,737
  4. Step 4: Simplify right side
    320,180x = 215,052,005,169
  5. Step 5: Solve for x
    x = 215,052,005,169/320,180
  6. Step 6: Final answer
    x = 671,659.71

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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.