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Finding the Third Proportional to 435,675 and 672,966

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Solution

The third proportional to 435,675 and 672,966 is: 1,039,497.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    435,675 : 672,966 = 672,966 : x
  2. Step 2: Convert to fraction form
    435,675/672,966 = 672,966/x
  3. Step 3: Cross multiply
    435,675x = 672,966 × 672,966
  4. Step 4: Simplify right side
    435,675x = 452,883,237,156
  5. Step 5: Solve for x
    x = 452,883,237,156/435,675
  6. Step 6: Final answer
    x = 1,039,497.88

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.