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Finding the Third Proportional to 352,638 and 495,507

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Solution

The third proportional to 352,638 and 495,507 is: 696,258.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    352,638 : 495,507 = 495,507 : x
  2. Step 2: Convert to fraction form
    352,638/495,507 = 495,507/x
  3. Step 3: Cross multiply
    352,638x = 495,507 × 495,507
  4. Step 4: Simplify right side
    352,638x = 245,527,187,049
  5. Step 5: Solve for x
    x = 245,527,187,049/352,638
  6. Step 6: Final answer
    x = 696,258.45

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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.