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Finding the Third Proportional to 303,370.31 and 475,869.94

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Solution

The third proportional to 303,370.31 and 475,869.94 is: 746,454.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    303,370.31 : 475,869.94 = 475,869.94 : x
  2. Step 2: Convert to fraction form
    303,370.31/475,869.94 = 475,869.94/x
  3. Step 3: Cross multiply
    303,370.31x = 475,869.94 × 475,869.94
  4. Step 4: Simplify right side
    303,370.31x = 226,452,197,416.25
  5. Step 5: Solve for x
    x = 226,452,197,416.25/303,370.31
  6. Step 6: Final answer
    x = 746,454.71

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.