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Finding the Third Proportional to 619.13 and 1,322.63

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Solution

The third proportional to 619.13 and 1,322.63 is: 2,825.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    619.13 : 1,322.63 = 1,322.63 : x
  2. Step 2: Convert to fraction form
    619.13/1,322.63 = 1,322.63/x
  3. Step 3: Cross multiply
    619.13x = 1,322.63 × 1,322.63
  4. Step 4: Simplify right side
    619.13x = 1,749,336.89
  5. Step 5: Solve for x
    x = 1,749,336.89/619.13
  6. Step 6: Final answer
    x = 2,825.50

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.