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Finding the Third Proportional to 661,400.44 and 966,593.25

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Solution

The third proportional to 661,400.44 and 966,593.25 is: 1,412,612.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    661,400.44 : 966,593.25 = 966,593.25 : x
  2. Step 2: Convert to fraction form
    661,400.44/966,593.25 = 966,593.25/x
  3. Step 3: Cross multiply
    661,400.44x = 966,593.25 × 966,593.25
  4. Step 4: Simplify right side
    661,400.44x = 934,302,510,945.56
  5. Step 5: Solve for x
    x = 934,302,510,945.56/661,400.44
  6. Step 6: Final answer
    x = 1,412,612.48

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.