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Finding the Third Proportional to 233,696 and 381,569

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Solution

The third proportional to 233,696 and 381,569 is: 623,009.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    233,696 : 381,569 = 381,569 : x
  2. Step 2: Convert to fraction form
    233,696/381,569 = 381,569/x
  3. Step 3: Cross multiply
    233,696x = 381,569 × 381,569
  4. Step 4: Simplify right side
    233,696x = 145,594,901,761
  5. Step 5: Solve for x
    x = 145,594,901,761/233,696
  6. Step 6: Final answer
    x = 623,009.82

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Why These Related Problems?

These problems maintain the same ratio (1.63) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.