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Finding the Third Proportional to 258,938 and 401,848

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Solution

The third proportional to 258,938 and 401,848 is: 623,631.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    258,938 : 401,848 = 401,848 : x
  2. Step 2: Convert to fraction form
    258,938/401,848 = 401,848/x
  3. Step 3: Cross multiply
    258,938x = 401,848 × 401,848
  4. Step 4: Simplify right side
    258,938x = 161,481,815,104
  5. Step 5: Solve for x
    x = 161,481,815,104/258,938
  6. Step 6: Final answer
    x = 623,631.20

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.