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Finding the Third Proportional to 510,192 and 796,304.25

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Solution

The third proportional to 510,192 and 796,304.25 is: 1,242,866.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    510,192 : 796,304.25 = 796,304.25 : x
  2. Step 2: Convert to fraction form
    510,192/796,304.25 = 796,304.25/x
  3. Step 3: Cross multiply
    510,192x = 796,304.25 × 796,304.25
  4. Step 4: Simplify right side
    510,192x = 634,100,458,568.06
  5. Step 5: Solve for x
    x = 634,100,458,568.06/510,192
  6. Step 6: Final answer
    x = 1,242,866.33

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These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.