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Finding the Third Proportional to 519 and 1,405.50

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Solution

The third proportional to 519 and 1,405.50 is: 3,806.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    519 : 1,405.50 = 1,405.50 : x
  2. Step 2: Convert to fraction form
    519/1,405.50 = 1,405.50/x
  3. Step 3: Cross multiply
    519x = 1,405.50 × 1,405.50
  4. Step 4: Simplify right side
    519x = 1,975,430.25
  5. Step 5: Solve for x
    x = 1,975,430.25/519
  6. Step 6: Final answer
    x = 3,806.22

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Why These Related Problems?

These problems maintain the same ratio (2.71) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.