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Finding the Third Proportional to 477.21 and 1,014.96

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Solution

The third proportional to 477.21 and 1,014.96 is: 2,158.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    477.21 : 1,014.96 = 1,014.96 : x
  2. Step 2: Convert to fraction form
    477.21/1,014.96 = 1,014.96/x
  3. Step 3: Cross multiply
    477.21x = 1,014.96 × 1,014.96
  4. Step 4: Simplify right side
    477.21x = 1,030,145.70
  5. Step 5: Solve for x
    x = 1,030,145.70/477.21
  6. Step 6: Final answer
    x = 2,158.68

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.