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Finding the Third Proportional to 511,422 and 794,043

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Solution

The third proportional to 511,422 and 794,043 is: 1,232,845.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    511,422 : 794,043 = 794,043 : x
  2. Step 2: Convert to fraction form
    511,422/794,043 = 794,043/x
  3. Step 3: Cross multiply
    511,422x = 794,043 × 794,043
  4. Step 4: Simplify right side
    511,422x = 630,504,285,849
  5. Step 5: Solve for x
    x = 630,504,285,849/511,422
  6. Step 6: Final answer
    x = 1,232,845.45

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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.