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Finding the Third Proportional to 511,366.50 and 1,112,261.63

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Solution

The third proportional to 511,366.50 and 1,112,261.63 is: 2,419,254.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    511,366.50 : 1,112,261.63 = 1,112,261.63 : x
  2. Step 2: Convert to fraction form
    511,366.50/1,112,261.63 = 1,112,261.63/x
  3. Step 3: Cross multiply
    511,366.50x = 1,112,261.63 × 1,112,261.63
  4. Step 4: Simplify right side
    511,366.50x = 1,237,125,922,447.64
  5. Step 5: Solve for x
    x = 1,237,125,922,447.64/511,366.50
  6. Step 6: Final answer
    x = 2,419,254.92

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.