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Finding the Third Proportional to 457.45 and 1,006.03

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Solution

The third proportional to 457.45 and 1,006.03 is: 2,212.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    457.45 : 1,006.03 = 1,006.03 : x
  2. Step 2: Convert to fraction form
    457.45/1,006.03 = 1,006.03/x
  3. Step 3: Cross multiply
    457.45x = 1,006.03 × 1,006.03
  4. Step 4: Simplify right side
    457.45x = 1,012,098.88
  5. Step 5: Solve for x
    x = 1,012,098.88/457.45
  6. Step 6: Final answer
    x = 2,212.46

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.