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Finding the Third Proportional to 449.93 and 931.08

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Solution

The third proportional to 449.93 and 931.08 is: 1,926.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    449.93 : 931.08 = 931.08 : x
  2. Step 2: Convert to fraction form
    449.93/931.08 = 931.08/x
  3. Step 3: Cross multiply
    449.93x = 931.08 × 931.08
  4. Step 4: Simplify right side
    449.93x = 866,906.47
  5. Step 5: Solve for x
    x = 866,906.47/449.93
  6. Step 6: Final answer
    x = 1,926.76

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.