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Finding the Third Proportional to 513 and 1,332

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Solution

The third proportional to 513 and 1,332 is: 3,458.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    513 : 1,332 = 1,332 : x
  2. Step 2: Convert to fraction form
    513/1,332 = 1,332/x
  3. Step 3: Cross multiply
    513x = 1,332 × 1,332
  4. Step 4: Simplify right side
    513x = 1,774,224
  5. Step 5: Solve for x
    x = 1,774,224/513
  6. Step 6: Final answer
    x = 3,458.53

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Why These Related Problems?

These problems maintain the same ratio (2.60) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.