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Finding the Third Proportional to 428.56 and 591.25

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Solution

The third proportional to 428.56 and 591.25 is: 815.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    428.56 : 591.25 = 591.25 : x
  2. Step 2: Convert to fraction form
    428.56/591.25 = 591.25/x
  3. Step 3: Cross multiply
    428.56x = 591.25 × 591.25
  4. Step 4: Simplify right side
    428.56x = 349,576.56
  5. Step 5: Solve for x
    x = 349,576.56/428.56
  6. Step 6: Final answer
    x = 815.70

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.