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Finding the Third Proportional to 444,881.50 and 959,747

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Solution

The third proportional to 444,881.50 and 959,747 is: 2,070,471.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    444,881.50 : 959,747 = 959,747 : x
  2. Step 2: Convert to fraction form
    444,881.50/959,747 = 959,747/x
  3. Step 3: Cross multiply
    444,881.50x = 959,747 × 959,747
  4. Step 4: Simplify right side
    444,881.50x = 921,114,304,009
  5. Step 5: Solve for x
    x = 921,114,304,009/444,881.50
  6. Step 6: Final answer
    x = 2,070,471.13

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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.