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Finding the Third Proportional to 521.63 and 773.06

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Solution

The third proportional to 521.63 and 773.06 is: 1,145.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    521.63 : 773.06 = 773.06 : x
  2. Step 2: Convert to fraction form
    521.63/773.06 = 773.06/x
  3. Step 3: Cross multiply
    521.63x = 773.06 × 773.06
  4. Step 4: Simplify right side
    521.63x = 597,625.63
  5. Step 5: Solve for x
    x = 597,625.63/521.63
  6. Step 6: Final answer
    x = 1,145.70

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.