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Finding the Third Proportional to 567.75 and 770.38

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Solution

The third proportional to 567.75 and 770.38 is: 1,045.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    567.75 : 770.38 = 770.38 : x
  2. Step 2: Convert to fraction form
    567.75/770.38 = 770.38/x
  3. Step 3: Cross multiply
    567.75x = 770.38 × 770.38
  4. Step 4: Simplify right side
    567.75x = 593,477.64
  5. Step 5: Solve for x
    x = 593,477.64/567.75
  6. Step 6: Final answer
    x = 1,045.32

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.