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Finding the Third Proportional to 641,493.95 and 896,846.29

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Solution

The third proportional to 641,493.95 and 896,846.29 is: 1,253,843.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    641,493.95 : 896,846.29 = 896,846.29 : x
  2. Step 2: Convert to fraction form
    641,493.95/896,846.29 = 896,846.29/x
  3. Step 3: Cross multiply
    641,493.95x = 896,846.29 × 896,846.29
  4. Step 4: Simplify right side
    641,493.95x = 804,333,269,708.44
  5. Step 5: Solve for x
    x = 804,333,269,708.44/641,493.95
  6. Step 6: Final answer
    x = 1,253,843.89

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.