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Finding the Third Proportional to 296,451 and 659,231

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Solution

The third proportional to 296,451 and 659,231 is: 1,465,960.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    296,451 : 659,231 = 659,231 : x
  2. Step 2: Convert to fraction form
    296,451/659,231 = 659,231/x
  3. Step 3: Cross multiply
    296,451x = 659,231 × 659,231
  4. Step 4: Simplify right side
    296,451x = 434,585,511,361
  5. Step 5: Solve for x
    x = 434,585,511,361/296,451
  6. Step 6: Final answer
    x = 1,465,960.69

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.