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Finding the Third Proportional to 444,214.88 and 959,356.31

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Solution

The third proportional to 444,214.88 and 959,356.31 is: 2,071,890.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    444,214.88 : 959,356.31 = 959,356.31 : x
  2. Step 2: Convert to fraction form
    444,214.88/959,356.31 = 959,356.31/x
  3. Step 3: Cross multiply
    444,214.88x = 959,356.31 × 959,356.31
  4. Step 4: Simplify right side
    444,214.88x = 920,364,534,333.60
  5. Step 5: Solve for x
    x = 920,364,534,333.60/444,214.88
  6. Step 6: Final answer
    x = 2,071,890.40

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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.