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Finding the Third Proportional to 888.75 and 1,269.38

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Solution

The third proportional to 888.75 and 1,269.38 is: 1,813.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    888.75 : 1,269.38 = 1,269.38 : x
  2. Step 2: Convert to fraction form
    888.75/1,269.38 = 1,269.38/x
  3. Step 3: Cross multiply
    888.75x = 1,269.38 × 1,269.38
  4. Step 4: Simplify right side
    888.75x = 1,611,312.89
  5. Step 5: Solve for x
    x = 1,611,312.89/888.75
  6. Step 6: Final answer
    x = 1,813.01

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.