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Finding the Third Proportional to 459.11 and 895.11

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Solution

The third proportional to 459.11 and 895.11 is: 1,745.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    459.11 : 895.11 = 895.11 : x
  2. Step 2: Convert to fraction form
    459.11/895.11 = 895.11/x
  3. Step 3: Cross multiply
    459.11x = 895.11 × 895.11
  4. Step 4: Simplify right side
    459.11x = 801,227.79
  5. Step 5: Solve for x
    x = 801,227.79/459.11
  6. Step 6: Final answer
    x = 1,745.19

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Why These Related Problems?

These problems maintain the same ratio (1.95) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.