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Finding the Third Proportional to 411.38 and 657.94

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Solution

The third proportional to 411.38 and 657.94 is: 1,052.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    411.38 : 657.94 = 657.94 : x
  2. Step 2: Convert to fraction form
    411.38/657.94 = 657.94/x
  3. Step 3: Cross multiply
    411.38x = 657.94 × 657.94
  4. Step 4: Simplify right side
    411.38x = 432,881.75
  5. Step 5: Solve for x
    x = 432,881.75/411.38
  6. Step 6: Final answer
    x = 1,052.28

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Why These Related Problems?

These problems maintain the same ratio (1.60) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.