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Finding the Third Proportional to 303,878 and 471,699

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Solution

The third proportional to 303,878 and 471,699 is: 732,201.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    303,878 : 471,699 = 471,699 : x
  2. Step 2: Convert to fraction form
    303,878/471,699 = 471,699/x
  3. Step 3: Cross multiply
    303,878x = 471,699 × 471,699
  4. Step 4: Simplify right side
    303,878x = 222,499,946,601
  5. Step 5: Solve for x
    x = 222,499,946,601/303,878
  6. Step 6: Final answer
    x = 732,201.56

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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.