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Finding the Third Proportional to 577.13 and 822.56

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Solution

The third proportional to 577.13 and 822.56 is: 1,172.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    577.13 : 822.56 = 822.56 : x
  2. Step 2: Convert to fraction form
    577.13/822.56 = 822.56/x
  3. Step 3: Cross multiply
    577.13x = 822.56 × 822.56
  4. Step 4: Simplify right side
    577.13x = 676,609.07
  5. Step 5: Solve for x
    x = 676,609.07/577.13
  6. Step 6: Final answer
    x = 1,172.38

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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.