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Finding the Third Proportional to 303,242 and 475,640

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Solution

The third proportional to 303,242 and 475,640 is: 746,049.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    303,242 : 475,640 = 475,640 : x
  2. Step 2: Convert to fraction form
    303,242/475,640 = 475,640/x
  3. Step 3: Cross multiply
    303,242x = 475,640 × 475,640
  4. Step 4: Simplify right side
    303,242x = 226,233,409,600
  5. Step 5: Solve for x
    x = 226,233,409,600/303,242
  6. Step 6: Final answer
    x = 746,049.06

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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.