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Finding the Third Proportional to 577.88 and 826.69

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Solution

The third proportional to 577.88 and 826.69 is: 1,182.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    577.88 : 826.69 = 826.69 : x
  2. Step 2: Convert to fraction form
    577.88/826.69 = 826.69/x
  3. Step 3: Cross multiply
    577.88x = 826.69 × 826.69
  4. Step 4: Simplify right side
    577.88x = 683,412.22
  5. Step 5: Solve for x
    x = 683,412.22/577.88
  6. Step 6: Final answer
    x = 1,182.63

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.