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Finding the Third Proportional to 259,718 and 405,988

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Solution

The third proportional to 259,718 and 405,988 is: 634,635.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    259,718 : 405,988 = 405,988 : x
  2. Step 2: Convert to fraction form
    259,718/405,988 = 405,988/x
  3. Step 3: Cross multiply
    259,718x = 405,988 × 405,988
  4. Step 4: Simplify right side
    259,718x = 164,826,256,144
  5. Step 5: Solve for x
    x = 164,826,256,144/259,718
  6. Step 6: Final answer
    x = 634,635.47

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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.