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Finding the Third Proportional to 182,720 and 406,962

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Solution

The third proportional to 182,720 and 406,962 is: 906,403.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    182,720 : 406,962 = 406,962 : x
  2. Step 2: Convert to fraction form
    182,720/406,962 = 406,962/x
  3. Step 3: Cross multiply
    182,720x = 406,962 × 406,962
  4. Step 4: Simplify right side
    182,720x = 165,618,069,444
  5. Step 5: Solve for x
    x = 165,618,069,444/182,720
  6. Step 6: Final answer
    x = 906,403.62

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Why These Related Problems?

These problems maintain the same ratio (2.23) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.