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Finding the Third Proportional to 544,881.94 and 747,976.78

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Solution

The third proportional to 544,881.94 and 747,976.78 is: 1,026,771.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    544,881.94 : 747,976.78 = 747,976.78 : x
  2. Step 2: Convert to fraction form
    544,881.94/747,976.78 = 747,976.78/x
  3. Step 3: Cross multiply
    544,881.94x = 747,976.78 × 747,976.78
  4. Step 4: Simplify right side
    544,881.94x = 559,469,265,289.11
  5. Step 5: Solve for x
    x = 559,469,265,289.11/544,881.94
  6. Step 6: Final answer
    x = 1,026,771.54

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.