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Finding the Third Proportional to 557.81 and 874.78

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Solution

The third proportional to 557.81 and 874.78 is: 1,371.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    557.81 : 874.78 = 874.78 : x
  2. Step 2: Convert to fraction form
    557.81/874.78 = 874.78/x
  3. Step 3: Cross multiply
    557.81x = 874.78 × 874.78
  4. Step 4: Simplify right side
    557.81x = 765,242.24
  5. Step 5: Solve for x
    x = 765,242.24/557.81
  6. Step 6: Final answer
    x = 1,371.86

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.