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Finding the Third Proportional to 437.75 and 887.88

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Solution

The third proportional to 437.75 and 887.88 is: 1,800.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    437.75 : 887.88 = 887.88 : x
  2. Step 2: Convert to fraction form
    437.75/887.88 = 887.88/x
  3. Step 3: Cross multiply
    437.75x = 887.88 × 887.88
  4. Step 4: Simplify right side
    437.75x = 788,322.02
  5. Step 5: Solve for x
    x = 788,322.02/437.75
  6. Step 6: Final answer
    x = 1,800.85

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.