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Finding the Third Proportional to 453,872 and 753,812

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Solution

The third proportional to 453,872 and 753,812 is: 1,251,966.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    453,872 : 753,812 = 753,812 : x
  2. Step 2: Convert to fraction form
    453,872/753,812 = 753,812/x
  3. Step 3: Cross multiply
    453,872x = 753,812 × 753,812
  4. Step 4: Simplify right side
    453,872x = 568,232,531,344
  5. Step 5: Solve for x
    x = 568,232,531,344/453,872
  6. Step 6: Final answer
    x = 1,251,966.48

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Why These Related Problems?

These problems maintain the same ratio (1.66) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.