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Finding the Third Proportional to 426.09 and 895.22

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Solution

The third proportional to 426.09 and 895.22 is: 1,880.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    426.09 : 895.22 = 895.22 : x
  2. Step 2: Convert to fraction form
    426.09/895.22 = 895.22/x
  3. Step 3: Cross multiply
    426.09x = 895.22 × 895.22
  4. Step 4: Simplify right side
    426.09x = 801,416.61
  5. Step 5: Solve for x
    x = 801,416.61/426.09
  6. Step 6: Final answer
    x = 1,880.85

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.