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Finding the Third Proportional to 512,742 and 795,991

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Solution

The third proportional to 512,742 and 795,991 is: 1,235,712.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    512,742 : 795,991 = 795,991 : x
  2. Step 2: Convert to fraction form
    512,742/795,991 = 795,991/x
  3. Step 3: Cross multiply
    512,742x = 795,991 × 795,991
  4. Step 4: Simplify right side
    512,742x = 633,601,672,081
  5. Step 5: Solve for x
    x = 633,601,672,081/512,742
  6. Step 6: Final answer
    x = 1,235,712.45

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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.