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Finding the Third Proportional to 409.63 and 887.75

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Solution

The third proportional to 409.63 and 887.75 is: 1,923.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    409.63 : 887.75 = 887.75 : x
  2. Step 2: Convert to fraction form
    409.63/887.75 = 887.75/x
  3. Step 3: Cross multiply
    409.63x = 887.75 × 887.75
  4. Step 4: Simplify right side
    409.63x = 788,100.06
  5. Step 5: Solve for x
    x = 788,100.06/409.63
  6. Step 6: Final answer
    x = 1,923.95

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.