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Finding the Third Proportional to 673.06 and 764.94

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Solution

The third proportional to 673.06 and 764.94 is: 869.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    673.06 : 764.94 = 764.94 : x
  2. Step 2: Convert to fraction form
    673.06/764.94 = 764.94/x
  3. Step 3: Cross multiply
    673.06x = 764.94 × 764.94
  4. Step 4: Simplify right side
    673.06x = 585,129.38
  5. Step 5: Solve for x
    x = 585,129.38/673.06
  6. Step 6: Final answer
    x = 869.35

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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.