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Finding the Third Proportional to 511,538.63 and 800,111.25

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Solution

The third proportional to 511,538.63 and 800,111.25 is: 1,251,475.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    511,538.63 : 800,111.25 = 800,111.25 : x
  2. Step 2: Convert to fraction form
    511,538.63/800,111.25 = 800,111.25/x
  3. Step 3: Cross multiply
    511,538.63x = 800,111.25 × 800,111.25
  4. Step 4: Simplify right side
    511,538.63x = 640,178,012,376.56
  5. Step 5: Solve for x
    x = 640,178,012,376.56/511,538.63
  6. Step 6: Final answer
    x = 1,251,475.41

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.