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Finding the Third Proportional to 764.13 and 1,156.38

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Solution

The third proportional to 764.13 and 1,156.38 is: 1,749.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    764.13 : 1,156.38 = 1,156.38 : x
  2. Step 2: Convert to fraction form
    764.13/1,156.38 = 1,156.38/x
  3. Step 3: Cross multiply
    764.13x = 1,156.38 × 1,156.38
  4. Step 4: Simplify right side
    764.13x = 1,337,203.14
  5. Step 5: Solve for x
    x = 1,337,203.14/764.13
  6. Step 6: Final answer
    x = 1,749.98

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.