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Finding the Third Proportional to 244,404 and 511,150.50

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Solution

The third proportional to 244,404 and 511,150.50 is: 1,069,028.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    244,404 : 511,150.50 = 511,150.50 : x
  2. Step 2: Convert to fraction form
    244,404/511,150.50 = 511,150.50/x
  3. Step 3: Cross multiply
    244,404x = 511,150.50 × 511,150.50
  4. Step 4: Simplify right side
    244,404x = 261,274,833,650.25
  5. Step 5: Solve for x
    x = 261,274,833,650.25/244,404
  6. Step 6: Final answer
    x = 1,069,028.47

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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.