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Finding the Third Proportional to 570.75 and 888.94

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Solution

The third proportional to 570.75 and 888.94 is: 1,384.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    570.75 : 888.94 = 888.94 : x
  2. Step 2: Convert to fraction form
    570.75/888.94 = 888.94/x
  3. Step 3: Cross multiply
    570.75x = 888.94 × 888.94
  4. Step 4: Simplify right side
    570.75x = 790,209.88
  5. Step 5: Solve for x
    x = 790,209.88/570.75
  6. Step 6: Final answer
    x = 1,384.51

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.