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Finding the Third Proportional to 256.64 and 522.70

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Solution

The third proportional to 256.64 and 522.70 is: 1,064.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    256.64 : 522.70 = 522.70 : x
  2. Step 2: Convert to fraction form
    256.64/522.70 = 522.70/x
  3. Step 3: Cross multiply
    256.64x = 522.70 × 522.70
  4. Step 4: Simplify right side
    256.64x = 273,218.56
  5. Step 5: Solve for x
    x = 273,218.56/256.64
  6. Step 6: Final answer
    x = 1,064.60

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.