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Finding the Third Proportional to 289,317 and 444,971

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Solution

The third proportional to 289,317 and 444,971 is: 684,367.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    289,317 : 444,971 = 444,971 : x
  2. Step 2: Convert to fraction form
    289,317/444,971 = 444,971/x
  3. Step 3: Cross multiply
    289,317x = 444,971 × 444,971
  4. Step 4: Simplify right side
    289,317x = 197,999,190,841
  5. Step 5: Solve for x
    x = 197,999,190,841/289,317
  6. Step 6: Final answer
    x = 684,367.63

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.