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Finding the Third Proportional to 575.07 and 764.75

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Solution

The third proportional to 575.07 and 764.75 is: 1,017.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    575.07 : 764.75 = 764.75 : x
  2. Step 2: Convert to fraction form
    575.07/764.75 = 764.75/x
  3. Step 3: Cross multiply
    575.07x = 764.75 × 764.75
  4. Step 4: Simplify right side
    575.07x = 584,848.54
  5. Step 5: Solve for x
    x = 584,848.54/575.07
  6. Step 6: Final answer
    x = 1,017.01

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Why These Related Problems?

These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.