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Finding the Third Proportional to 411.75 and 887.63

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Solution

The third proportional to 411.75 and 887.63 is: 1,913.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    411.75 : 887.63 = 887.63 : x
  2. Step 2: Convert to fraction form
    411.75/887.63 = 887.63/x
  3. Step 3: Cross multiply
    411.75x = 887.63 × 887.63
  4. Step 4: Simplify right side
    411.75x = 787,878.14
  5. Step 5: Solve for x
    x = 787,878.14/411.75
  6. Step 6: Final answer
    x = 1,913.49

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.