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Finding the Third Proportional to 382,052.25 and 559,541.25

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Solution

The third proportional to 382,052.25 and 559,541.25 is: 819,485.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    382,052.25 : 559,541.25 = 559,541.25 : x
  2. Step 2: Convert to fraction form
    382,052.25/559,541.25 = 559,541.25/x
  3. Step 3: Cross multiply
    382,052.25x = 559,541.25 × 559,541.25
  4. Step 4: Simplify right side
    382,052.25x = 313,086,410,451.56
  5. Step 5: Solve for x
    x = 313,086,410,451.56/382,052.25
  6. Step 6: Final answer
    x = 819,485.84

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.