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Finding the Third Proportional to 557.88 and 835.94

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Solution

The third proportional to 557.88 and 835.94 is: 1,252.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    557.88 : 835.94 = 835.94 : x
  2. Step 2: Convert to fraction form
    557.88/835.94 = 835.94/x
  3. Step 3: Cross multiply
    557.88x = 835.94 × 835.94
  4. Step 4: Simplify right side
    557.88x = 698,791.50
  5. Step 5: Solve for x
    x = 698,791.50/557.88
  6. Step 6: Final answer
    x = 1,252.60

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.