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Finding the Third Proportional to 577.56 and 808.25

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Solution

The third proportional to 577.56 and 808.25 is: 1,131.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    577.56 : 808.25 = 808.25 : x
  2. Step 2: Convert to fraction form
    577.56/808.25 = 808.25/x
  3. Step 3: Cross multiply
    577.56x = 808.25 × 808.25
  4. Step 4: Simplify right side
    577.56x = 653,268.06
  5. Step 5: Solve for x
    x = 653,268.06/577.56
  6. Step 6: Final answer
    x = 1,131.08

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.