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Finding the Third Proportional to 230,445 and 476,880

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Solution

The third proportional to 230,445 and 476,880 is: 986,849.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    230,445 : 476,880 = 476,880 : x
  2. Step 2: Convert to fraction form
    230,445/476,880 = 476,880/x
  3. Step 3: Cross multiply
    230,445x = 476,880 × 476,880
  4. Step 4: Simplify right side
    230,445x = 227,414,534,400
  5. Step 5: Solve for x
    x = 227,414,534,400/230,445
  6. Step 6: Final answer
    x = 986,849.51

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.