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Finding the Third Proportional to 437,892 and 659,971

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Solution

The third proportional to 437,892 and 659,971 is: 994,678.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    437,892 : 659,971 = 659,971 : x
  2. Step 2: Convert to fraction form
    437,892/659,971 = 659,971/x
  3. Step 3: Cross multiply
    437,892x = 659,971 × 659,971
  4. Step 4: Simplify right side
    437,892x = 435,561,720,841
  5. Step 5: Solve for x
    x = 435,561,720,841/437,892
  6. Step 6: Final answer
    x = 994,678.42

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.