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Finding the Third Proportional to 303,066 and 475,420

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Solution

The third proportional to 303,066 and 475,420 is: 745,791.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    303,066 : 475,420 = 475,420 : x
  2. Step 2: Convert to fraction form
    303,066/475,420 = 475,420/x
  3. Step 3: Cross multiply
    303,066x = 475,420 × 475,420
  4. Step 4: Simplify right side
    303,066x = 226,024,176,400
  5. Step 5: Solve for x
    x = 226,024,176,400/303,066
  6. Step 6: Final answer
    x = 745,791.93

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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.