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Finding the Third Proportional to 459.56 and 991.13

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Solution

The third proportional to 459.56 and 991.13 is: 2,137.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    459.56 : 991.13 = 991.13 : x
  2. Step 2: Convert to fraction form
    459.56/991.13 = 991.13/x
  3. Step 3: Cross multiply
    459.56x = 991.13 × 991.13
  4. Step 4: Simplify right side
    459.56x = 982,328.77
  5. Step 5: Solve for x
    x = 982,328.77/459.56
  6. Step 6: Final answer
    x = 2,137.53

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.