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Finding the Third Proportional to 567.75 and 1,199.63

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Solution

The third proportional to 567.75 and 1,199.63 is: 2,534.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    567.75 : 1,199.63 = 1,199.63 : x
  2. Step 2: Convert to fraction form
    567.75/1,199.63 = 1,199.63/x
  3. Step 3: Cross multiply
    567.75x = 1,199.63 × 1,199.63
  4. Step 4: Simplify right side
    567.75x = 1,439,100.14
  5. Step 5: Solve for x
    x = 1,439,100.14/567.75
  6. Step 6: Final answer
    x = 2,534.74

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.