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Finding the Third Proportional to 512,727 and 795,963

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Solution

The third proportional to 512,727 and 795,963 is: 1,235,661.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    512,727 : 795,963 = 795,963 : x
  2. Step 2: Convert to fraction form
    512,727/795,963 = 795,963/x
  3. Step 3: Cross multiply
    512,727x = 795,963 × 795,963
  4. Step 4: Simplify right side
    512,727x = 633,557,097,369
  5. Step 5: Solve for x
    x = 633,557,097,369/512,727
  6. Step 6: Final answer
    x = 1,235,661.66

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.