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Finding the Third Proportional to 580.13 and 671.63

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Solution

The third proportional to 580.13 and 671.63 is: 777.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    580.13 : 671.63 = 671.63 : x
  2. Step 2: Convert to fraction form
    580.13/671.63 = 671.63/x
  3. Step 3: Cross multiply
    580.13x = 671.63 × 671.63
  4. Step 4: Simplify right side
    580.13x = 451,080.14
  5. Step 5: Solve for x
    x = 451,080.14/580.13
  6. Step 6: Final answer
    x = 777.56

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Why These Related Problems?

These problems maintain the same ratio (1.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.