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Finding the Third Proportional to 352,638 and 495,511

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Solution

The third proportional to 352,638 and 495,511 is: 696,269.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    352,638 : 495,511 = 495,511 : x
  2. Step 2: Convert to fraction form
    352,638/495,511 = 495,511/x
  3. Step 3: Cross multiply
    352,638x = 495,511 × 495,511
  4. Step 4: Simplify right side
    352,638x = 245,531,151,121
  5. Step 5: Solve for x
    x = 245,531,151,121/352,638
  6. Step 6: Final answer
    x = 696,269.69

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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.