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Finding the Third Proportional to 259,715 and 405,984

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Solution

The third proportional to 259,715 and 405,984 is: 634,630.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    259,715 : 405,984 = 405,984 : x
  2. Step 2: Convert to fraction form
    259,715/405,984 = 405,984/x
  3. Step 3: Cross multiply
    259,715x = 405,984 × 405,984
  4. Step 4: Simplify right side
    259,715x = 164,823,008,256
  5. Step 5: Solve for x
    x = 164,823,008,256/259,715
  6. Step 6: Final answer
    x = 634,630.30

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.