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Finding the Third Proportional to 567.75 and 1,223.06

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Solution

The third proportional to 567.75 and 1,223.06 is: 2,634.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    567.75 : 1,223.06 = 1,223.06 : x
  2. Step 2: Convert to fraction form
    567.75/1,223.06 = 1,223.06/x
  3. Step 3: Cross multiply
    567.75x = 1,223.06 × 1,223.06
  4. Step 4: Simplify right side
    567.75x = 1,495,881.88
  5. Step 5: Solve for x
    x = 1,495,881.88/567.75
  6. Step 6: Final answer
    x = 2,634.75

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.