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Finding the Third Proportional to 395,784.75 and 771,884

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Solution

The third proportional to 395,784.75 and 771,884 is: 1,505,376.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    395,784.75 : 771,884 = 771,884 : x
  2. Step 2: Convert to fraction form
    395,784.75/771,884 = 771,884/x
  3. Step 3: Cross multiply
    395,784.75x = 771,884 × 771,884
  4. Step 4: Simplify right side
    395,784.75x = 595,804,909,456
  5. Step 5: Solve for x
    x = 595,804,909,456/395,784.75
  6. Step 6: Final answer
    x = 1,505,376.12

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Why These Related Problems?

These problems maintain the same ratio (1.95) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.