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Finding the Third Proportional to 415.76 and 650.69

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Solution

The third proportional to 415.76 and 650.69 is: 1,018.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    415.76 : 650.69 = 650.69 : x
  2. Step 2: Convert to fraction form
    415.76/650.69 = 650.69/x
  3. Step 3: Cross multiply
    415.76x = 650.69 × 650.69
  4. Step 4: Simplify right side
    415.76x = 423,396.76
  5. Step 5: Solve for x
    x = 423,396.76/415.76
  6. Step 6: Final answer
    x = 1,018.37

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.