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Finding the Third Proportional to 444,913.50 and 959,811

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Solution

The third proportional to 444,913.50 and 959,811 is: 2,070,598.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    444,913.50 : 959,811 = 959,811 : x
  2. Step 2: Convert to fraction form
    444,913.50/959,811 = 959,811/x
  3. Step 3: Cross multiply
    444,913.50x = 959,811 × 959,811
  4. Step 4: Simplify right side
    444,913.50x = 921,237,155,721
  5. Step 5: Solve for x
    x = 921,237,155,721/444,913.50
  6. Step 6: Final answer
    x = 2,070,598.34

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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.