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Finding the Third Proportional to 577.44 and 1,026.63

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Solution

The third proportional to 577.44 and 1,026.63 is: 1,825.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    577.44 : 1,026.63 = 1,026.63 : x
  2. Step 2: Convert to fraction form
    577.44/1,026.63 = 1,026.63/x
  3. Step 3: Cross multiply
    577.44x = 1,026.63 × 1,026.63
  4. Step 4: Simplify right side
    577.44x = 1,053,958.89
  5. Step 5: Solve for x
    x = 1,053,958.89/577.44
  6. Step 6: Final answer
    x = 1,825.23

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Why These Related Problems?

These problems maintain the same ratio (1.78) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.