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Finding the Third Proportional to 467,780.63 and 984,462.75

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Solution

The third proportional to 467,780.63 and 984,462.75 is: 2,071,840.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    467,780.63 : 984,462.75 = 984,462.75 : x
  2. Step 2: Convert to fraction form
    467,780.63/984,462.75 = 984,462.75/x
  3. Step 3: Cross multiply
    467,780.63x = 984,462.75 × 984,462.75
  4. Step 4: Simplify right side
    467,780.63x = 969,166,906,137.56
  5. Step 5: Solve for x
    x = 969,166,906,137.56/467,780.63
  6. Step 6: Final answer
    x = 2,071,840.63

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.