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Finding the Third Proportional to 511,263 and 792,731.25

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Solution

The third proportional to 511,263 and 792,731.25 is: 1,229,157.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    511,263 : 792,731.25 = 792,731.25 : x
  2. Step 2: Convert to fraction form
    511,263/792,731.25 = 792,731.25/x
  3. Step 3: Cross multiply
    511,263x = 792,731.25 × 792,731.25
  4. Step 4: Simplify right side
    511,263x = 628,422,834,726.56
  5. Step 5: Solve for x
    x = 628,422,834,726.56/511,263
  6. Step 6: Final answer
    x = 1,229,157.66

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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.