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Finding the Third Proportional to 577.69 and 1,245.94

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Solution

The third proportional to 577.69 and 1,245.94 is: 2,687.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    577.69 : 1,245.94 = 1,245.94 : x
  2. Step 2: Convert to fraction form
    577.69/1,245.94 = 1,245.94/x
  3. Step 3: Cross multiply
    577.69x = 1,245.94 × 1,245.94
  4. Step 4: Simplify right side
    577.69x = 1,552,360.25
  5. Step 5: Solve for x
    x = 1,552,360.25/577.69
  6. Step 6: Final answer
    x = 2,687.20

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.