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Finding the Third Proportional to 303,122 and 475,530

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Solution

The third proportional to 303,122 and 475,530 is: 745,999.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    303,122 : 475,530 = 475,530 : x
  2. Step 2: Convert to fraction form
    303,122/475,530 = 475,530/x
  3. Step 3: Cross multiply
    303,122x = 475,530 × 475,530
  4. Step 4: Simplify right side
    303,122x = 226,128,780,900
  5. Step 5: Solve for x
    x = 226,128,780,900/303,122
  6. Step 6: Final answer
    x = 745,999.24

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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.