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Finding the Third Proportional to 505 and 575.50

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Solution

The third proportional to 505 and 575.50 is: 655.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    505 : 575.50 = 575.50 : x
  2. Step 2: Convert to fraction form
    505/575.50 = 575.50/x
  3. Step 3: Cross multiply
    505x = 575.50 × 575.50
  4. Step 4: Simplify right side
    505x = 331,200.25
  5. Step 5: Solve for x
    x = 331,200.25/505
  6. Step 6: Final answer
    x = 655.84

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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.