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Finding the Third Proportional to 457.05 and 990.98

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Solution

The third proportional to 457.05 and 990.98 is: 2,148.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    457.05 : 990.98 = 990.98 : x
  2. Step 2: Convert to fraction form
    457.05/990.98 = 990.98/x
  3. Step 3: Cross multiply
    457.05x = 990.98 × 990.98
  4. Step 4: Simplify right side
    457.05x = 982,050.03
  5. Step 5: Solve for x
    x = 982,050.03/457.05
  6. Step 6: Final answer
    x = 2,148.68

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.