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Finding the Third Proportional to 457.31 and 959.63

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Solution

The third proportional to 457.31 and 959.63 is: 2,013.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    457.31 : 959.63 = 959.63 : x
  2. Step 2: Convert to fraction form
    457.31/959.63 = 959.63/x
  3. Step 3: Cross multiply
    457.31x = 959.63 × 959.63
  4. Step 4: Simplify right side
    457.31x = 920,880.14
  5. Step 5: Solve for x
    x = 920,880.14/457.31
  6. Step 6: Final answer
    x = 2,013.68

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.