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Finding the Third Proportional to 441,166.50 and 966,438

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Solution

The third proportional to 441,166.50 and 966,438 is: 2,117,119.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    441,166.50 : 966,438 = 966,438 : x
  2. Step 2: Convert to fraction form
    441,166.50/966,438 = 966,438/x
  3. Step 3: Cross multiply
    441,166.50x = 966,438 × 966,438
  4. Step 4: Simplify right side
    441,166.50x = 934,002,407,844
  5. Step 5: Solve for x
    x = 934,002,407,844/441,166.50
  6. Step 6: Final answer
    x = 2,117,119.97

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.