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Finding the Third Proportional to 422 and 572.50

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Solution

The third proportional to 422 and 572.50 is: 776.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    422 : 572.50 = 572.50 : x
  2. Step 2: Convert to fraction form
    422/572.50 = 572.50/x
  3. Step 3: Cross multiply
    422x = 572.50 × 572.50
  4. Step 4: Simplify right side
    422x = 327,756.25
  5. Step 5: Solve for x
    x = 327,756.25/422
  6. Step 6: Final answer
    x = 776.67

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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.