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Finding the Third Proportional to 380,436.75 and 569,450.25

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Solution

The third proportional to 380,436.75 and 569,450.25 is: 852,371.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    380,436.75 : 569,450.25 = 569,450.25 : x
  2. Step 2: Convert to fraction form
    380,436.75/569,450.25 = 569,450.25/x
  3. Step 3: Cross multiply
    380,436.75x = 569,450.25 × 569,450.25
  4. Step 4: Simplify right side
    380,436.75x = 324,273,587,225.06
  5. Step 5: Solve for x
    x = 324,273,587,225.06/380,436.75
  6. Step 6: Final answer
    x = 852,371.88

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.