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Finding the Third Proportional to 569,371.50 and 852,477.75

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Solution

The third proportional to 569,371.50 and 852,477.75 is: 1,276,351.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    569,371.50 : 852,477.75 = 852,477.75 : x
  2. Step 2: Convert to fraction form
    569,371.50/852,477.75 = 852,477.75/x
  3. Step 3: Cross multiply
    569,371.50x = 852,477.75 × 852,477.75
  4. Step 4: Simplify right side
    569,371.50x = 726,718,314,245.06
  5. Step 5: Solve for x
    x = 726,718,314,245.06/569,371.50
  6. Step 6: Final answer
    x = 1,276,351.76

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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.