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Finding the Third Proportional to 380,458.50 and 569,499.75

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Solution

The third proportional to 380,458.50 and 569,499.75 is: 852,471.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    380,458.50 : 569,499.75 = 569,499.75 : x
  2. Step 2: Convert to fraction form
    380,458.50/569,499.75 = 569,499.75/x
  3. Step 3: Cross multiply
    380,458.50x = 569,499.75 × 569,499.75
  4. Step 4: Simplify right side
    380,458.50x = 324,329,965,250.06
  5. Step 5: Solve for x
    x = 324,329,965,250.06/380,458.50
  6. Step 6: Final answer
    x = 852,471.33

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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.