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Finding the Third Proportional to 352,617.75 and 495,479.25

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Solution

The third proportional to 352,617.75 and 495,479.25 is: 696,220.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    352,617.75 : 495,479.25 = 495,479.25 : x
  2. Step 2: Convert to fraction form
    352,617.75/495,479.25 = 495,479.25/x
  3. Step 3: Cross multiply
    352,617.75x = 495,479.25 × 495,479.25
  4. Step 4: Simplify right side
    352,617.75x = 245,499,687,180.56
  5. Step 5: Solve for x
    x = 245,499,687,180.56/352,617.75
  6. Step 6: Final answer
    x = 696,220.45

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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.