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Finding the Third Proportional to 522.75 and 1,113

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Solution

The third proportional to 522.75 and 1,113 is: 2,369.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    522.75 : 1,113 = 1,113 : x
  2. Step 2: Convert to fraction form
    522.75/1,113 = 1,113/x
  3. Step 3: Cross multiply
    522.75x = 1,113 × 1,113
  4. Step 4: Simplify right side
    522.75x = 1,238,769
  5. Step 5: Solve for x
    x = 1,238,769/522.75
  6. Step 6: Final answer
    x = 2,369.72

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.