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Finding the Third Proportional to 252,769.50 and 384,356.25

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Solution

The third proportional to 252,769.50 and 384,356.25 is: 584,444.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    252,769.50 : 384,356.25 = 384,356.25 : x
  2. Step 2: Convert to fraction form
    252,769.50/384,356.25 = 384,356.25/x
  3. Step 3: Cross multiply
    252,769.50x = 384,356.25 × 384,356.25
  4. Step 4: Simplify right side
    252,769.50x = 147,729,726,914.06
  5. Step 5: Solve for x
    x = 147,729,726,914.06/252,769.50
  6. Step 6: Final answer
    x = 584,444.43

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.