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Finding the Third Proportional to 262,534 and 396,207

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Solution

The third proportional to 262,534 and 396,207 is: 597,941.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    262,534 : 396,207 = 396,207 : x
  2. Step 2: Convert to fraction form
    262,534/396,207 = 396,207/x
  3. Step 3: Cross multiply
    262,534x = 396,207 × 396,207
  4. Step 4: Simplify right side
    262,534x = 156,979,986,849
  5. Step 5: Solve for x
    x = 156,979,986,849/262,534
  6. Step 6: Final answer
    x = 597,941.55

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.