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Finding the Third Proportional to 303,858 and 471,716

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Solution

The third proportional to 303,858 and 471,716 is: 732,302.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    303,858 : 471,716 = 471,716 : x
  2. Step 2: Convert to fraction form
    303,858/471,716 = 471,716/x
  3. Step 3: Cross multiply
    303,858x = 471,716 × 471,716
  4. Step 4: Simplify right side
    303,858x = 222,515,984,656
  5. Step 5: Solve for x
    x = 222,515,984,656/303,858
  6. Step 6: Final answer
    x = 732,302.54

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.