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Finding the Third Proportional to 416,096 and 616,368

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Solution

The third proportional to 416,096 and 616,368 is: 913,033.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    416,096 : 616,368 = 616,368 : x
  2. Step 2: Convert to fraction form
    416,096/616,368 = 616,368/x
  3. Step 3: Cross multiply
    416,096x = 616,368 × 616,368
  4. Step 4: Simplify right side
    416,096x = 379,909,511,424
  5. Step 5: Solve for x
    x = 379,909,511,424/416,096
  6. Step 6: Final answer
    x = 913,033.32

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.