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Finding the Third Proportional to 467,972.44 and 668,728.41

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Solution

The third proportional to 467,972.44 and 668,728.41 is: 955,606.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    467,972.44 : 668,728.41 = 668,728.41 : x
  2. Step 2: Convert to fraction form
    467,972.44/668,728.41 = 668,728.41/x
  3. Step 3: Cross multiply
    467,972.44x = 668,728.41 × 668,728.41
  4. Step 4: Simplify right side
    467,972.44x = 447,197,681,325.67
  5. Step 5: Solve for x
    x = 447,197,681,325.67/467,972.44
  6. Step 6: Final answer
    x = 955,606.88

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.