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Finding the Third Proportional to 519 and 1,106.63

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Solution

The third proportional to 519 and 1,106.63 is: 2,359.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    519 : 1,106.63 = 1,106.63 : x
  2. Step 2: Convert to fraction form
    519/1,106.63 = 1,106.63/x
  3. Step 3: Cross multiply
    519x = 1,106.63 × 1,106.63
  4. Step 4: Simplify right side
    519x = 1,224,618.89
  5. Step 5: Solve for x
    x = 1,224,618.89/519
  6. Step 6: Final answer
    x = 2,359.57

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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.