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Finding the Third Proportional to 427.01 and 560.67

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Solution

The third proportional to 427.01 and 560.67 is: 736.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    427.01 : 560.67 = 560.67 : x
  2. Step 2: Convert to fraction form
    427.01/560.67 = 560.67/x
  3. Step 3: Cross multiply
    427.01x = 560.67 × 560.67
  4. Step 4: Simplify right side
    427.01x = 314,352.95
  5. Step 5: Solve for x
    x = 314,352.95/427.01
  6. Step 6: Final answer
    x = 736.18

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Why These Related Problems?

These problems maintain the same ratio (1.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.