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Finding the Third Proportional to 244,396.13 and 511,141.50

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Solution

The third proportional to 244,396.13 and 511,141.50 is: 1,069,025.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    244,396.13 : 511,141.50 = 511,141.50 : x
  2. Step 2: Convert to fraction form
    244,396.13/511,141.50 = 511,141.50/x
  3. Step 3: Cross multiply
    244,396.13x = 511,141.50 × 511,141.50
  4. Step 4: Simplify right side
    244,396.13x = 261,265,633,022.25
  5. Step 5: Solve for x
    x = 261,265,633,022.25/244,396.13
  6. Step 6: Final answer
    x = 1,069,025.27

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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.