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Finding the Third Proportional to 258,123 and 553,601

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Solution

The third proportional to 258,123 and 553,601 is: 1,187,317.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    258,123 : 553,601 = 553,601 : x
  2. Step 2: Convert to fraction form
    258,123/553,601 = 553,601/x
  3. Step 3: Cross multiply
    258,123x = 553,601 × 553,601
  4. Step 4: Simplify right side
    258,123x = 306,474,067,201
  5. Step 5: Solve for x
    x = 306,474,067,201/258,123
  6. Step 6: Final answer
    x = 1,187,317.93

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.