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Finding the Third Proportional to 406.75 and 873.50

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Solution

The third proportional to 406.75 and 873.50 is: 1,875.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    406.75 : 873.50 = 873.50 : x
  2. Step 2: Convert to fraction form
    406.75/873.50 = 873.50/x
  3. Step 3: Cross multiply
    406.75x = 873.50 × 873.50
  4. Step 4: Simplify right side
    406.75x = 763,002.25
  5. Step 5: Solve for x
    x = 763,002.25/406.75
  6. Step 6: Final answer
    x = 1,875.85

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.