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Finding the Third Proportional to 435.38 and 705.94

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Solution

The third proportional to 435.38 and 705.94 is: 1,144.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    435.38 : 705.94 = 705.94 : x
  2. Step 2: Convert to fraction form
    435.38/705.94 = 705.94/x
  3. Step 3: Cross multiply
    435.38x = 705.94 × 705.94
  4. Step 4: Simplify right side
    435.38x = 498,347.75
  5. Step 5: Solve for x
    x = 498,347.75/435.38
  6. Step 6: Final answer
    x = 1,144.64

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Why These Related Problems?

These problems maintain the same ratio (1.62) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.