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Finding the Third Proportional to 290,436.38 and 629,124

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Solution

The third proportional to 290,436.38 and 629,124 is: 1,362,766.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    290,436.38 : 629,124 = 629,124 : x
  2. Step 2: Convert to fraction form
    290,436.38/629,124 = 629,124/x
  3. Step 3: Cross multiply
    290,436.38x = 629,124 × 629,124
  4. Step 4: Simplify right side
    290,436.38x = 395,797,007,376
  5. Step 5: Solve for x
    x = 395,797,007,376/290,436.38
  6. Step 6: Final answer
    x = 1,362,766.66

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.