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Finding the Third Proportional to 352,665 and 495,546.75

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Solution

The third proportional to 352,665 and 495,546.75 is: 696,316.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    352,665 : 495,546.75 = 495,546.75 : x
  2. Step 2: Convert to fraction form
    352,665/495,546.75 = 495,546.75/x
  3. Step 3: Cross multiply
    352,665x = 495,546.75 × 495,546.75
  4. Step 4: Simplify right side
    352,665x = 245,566,581,435.56
  5. Step 5: Solve for x
    x = 245,566,581,435.56/352,665
  6. Step 6: Final answer
    x = 696,316.85

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.