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Finding the Third Proportional to 505.25 and 575.75

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Solution

The third proportional to 505.25 and 575.75 is: 656.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    505.25 : 575.75 = 575.75 : x
  2. Step 2: Convert to fraction form
    505.25/575.75 = 575.75/x
  3. Step 3: Cross multiply
    505.25x = 575.75 × 575.75
  4. Step 4: Simplify right side
    505.25x = 331,488.06
  5. Step 5: Solve for x
    x = 331,488.06/505.25
  6. Step 6: Final answer
    x = 656.09

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Why These Related Problems?

These problems maintain the same ratio (1.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.