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Finding the Third Proportional to 561.75 and 1,322.38

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Solution

The third proportional to 561.75 and 1,322.38 is: 3,112.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    561.75 : 1,322.38 = 1,322.38 : x
  2. Step 2: Convert to fraction form
    561.75/1,322.38 = 1,322.38/x
  3. Step 3: Cross multiply
    561.75x = 1,322.38 × 1,322.38
  4. Step 4: Simplify right side
    561.75x = 1,748,675.64
  5. Step 5: Solve for x
    x = 1,748,675.64/561.75
  6. Step 6: Final answer
    x = 3,112.91

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Why These Related Problems?

These problems maintain the same ratio (2.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.