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Finding the Third Proportional to 409.75 and 895.75

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Solution

The third proportional to 409.75 and 895.75 is: 1,958.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    409.75 : 895.75 = 895.75 : x
  2. Step 2: Convert to fraction form
    409.75/895.75 = 895.75/x
  3. Step 3: Cross multiply
    409.75x = 895.75 × 895.75
  4. Step 4: Simplify right side
    409.75x = 802,368.06
  5. Step 5: Solve for x
    x = 802,368.06/409.75
  6. Step 6: Final answer
    x = 1,958.19

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.