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Finding the Third Proportional to 244,489.50 and 389,029.50

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Solution

The third proportional to 244,489.50 and 389,029.50 is: 619,020.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    244,489.50 : 389,029.50 = 389,029.50 : x
  2. Step 2: Convert to fraction form
    244,489.50/389,029.50 = 389,029.50/x
  3. Step 3: Cross multiply
    244,489.50x = 389,029.50 × 389,029.50
  4. Step 4: Simplify right side
    244,489.50x = 151,343,951,870.25
  5. Step 5: Solve for x
    x = 151,343,951,870.25/244,489.50
  6. Step 6: Final answer
    x = 619,020.25

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.