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Finding the Third Proportional to 567.75 and 734.50

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Solution

The third proportional to 567.75 and 734.50 is: 950.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    567.75 : 734.50 = 734.50 : x
  2. Step 2: Convert to fraction form
    567.75/734.50 = 734.50/x
  3. Step 3: Cross multiply
    567.75x = 734.50 × 734.50
  4. Step 4: Simplify right side
    567.75x = 539,490.25
  5. Step 5: Solve for x
    x = 539,490.25/567.75
  6. Step 6: Final answer
    x = 950.23

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Why These Related Problems?

These problems maintain the same ratio (1.29) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.