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Finding the Third Proportional to 232,916 and 369,406

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Solution

The third proportional to 232,916 and 369,406 is: 585,879.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    232,916 : 369,406 = 369,406 : x
  2. Step 2: Convert to fraction form
    232,916/369,406 = 369,406/x
  3. Step 3: Cross multiply
    232,916x = 369,406 × 369,406
  4. Step 4: Simplify right side
    232,916x = 136,460,792,836
  5. Step 5: Solve for x
    x = 136,460,792,836/232,916
  6. Step 6: Final answer
    x = 585,879.86

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.