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Finding the Third Proportional to 352,670 and 495,552

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Solution

The third proportional to 352,670 and 495,552 is: 696,321.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    352,670 : 495,552 = 495,552 : x
  2. Step 2: Convert to fraction form
    352,670/495,552 = 495,552/x
  3. Step 3: Cross multiply
    352,670x = 495,552 × 495,552
  4. Step 4: Simplify right side
    352,670x = 245,571,784,704
  5. Step 5: Solve for x
    x = 245,571,784,704/352,670
  6. Step 6: Final answer
    x = 696,321.73

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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.