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Finding the Third Proportional to 447,688.27 and 966,274.31

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Solution

The third proportional to 447,688.27 and 966,274.31 is: 2,085,571.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    447,688.27 : 966,274.31 = 966,274.31 : x
  2. Step 2: Convert to fraction form
    447,688.27/966,274.31 = 966,274.31/x
  3. Step 3: Cross multiply
    447,688.27x = 966,274.31 × 966,274.31
  4. Step 4: Simplify right side
    447,688.27x = 933,686,046,997.35
  5. Step 5: Solve for x
    x = 933,686,046,997.35/447,688.27
  6. Step 6: Final answer
    x = 2,085,571.86

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.