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Finding the Third Proportional to 291.75 and 427.88

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Solution

The third proportional to 291.75 and 427.88 is: 627.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    291.75 : 427.88 = 427.88 : x
  2. Step 2: Convert to fraction form
    291.75/427.88 = 427.88/x
  3. Step 3: Cross multiply
    291.75x = 427.88 × 427.88
  4. Step 4: Simplify right side
    291.75x = 183,077.02
  5. Step 5: Solve for x
    x = 183,077.02/291.75
  6. Step 6: Final answer
    x = 627.51

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.