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Finding the Third Proportional to 643,821.75 and 996,444.75

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Solution

The third proportional to 643,821.75 and 996,444.75 is: 1,542,200.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    643,821.75 : 996,444.75 = 996,444.75 : x
  2. Step 2: Convert to fraction form
    643,821.75/996,444.75 = 996,444.75/x
  3. Step 3: Cross multiply
    643,821.75x = 996,444.75 × 996,444.75
  4. Step 4: Simplify right side
    643,821.75x = 992,902,139,802.56
  5. Step 5: Solve for x
    x = 992,902,139,802.56/643,821.75
  6. Step 6: Final answer
    x = 1,542,200.37

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.