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Finding the Third Proportional to 283,725.94 and 421,569.38

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Solution

The third proportional to 283,725.94 and 421,569.38 is: 626,381.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    283,725.94 : 421,569.38 = 421,569.38 : x
  2. Step 2: Convert to fraction form
    283,725.94/421,569.38 = 421,569.38/x
  3. Step 3: Cross multiply
    283,725.94x = 421,569.38 × 421,569.38
  4. Step 4: Simplify right side
    283,725.94x = 177,720,737,937.89
  5. Step 5: Solve for x
    x = 177,720,737,937.89/283,725.94
  6. Step 6: Final answer
    x = 626,381.71

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.