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Finding the Third Proportional to 244,400.63 and 511,144.13

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Solution

The third proportional to 244,400.63 and 511,144.13 is: 1,069,016.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    244,400.63 : 511,144.13 = 511,144.13 : x
  2. Step 2: Convert to fraction form
    244,400.63/511,144.13 = 511,144.13/x
  3. Step 3: Cross multiply
    244,400.63x = 511,144.13 × 511,144.13
  4. Step 4: Simplify right side
    244,400.63x = 261,268,316,522.02
  5. Step 5: Solve for x
    x = 261,268,316,522.02/244,400.63
  6. Step 6: Final answer
    x = 1,069,016.56

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.