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Finding the Third Proportional to 444,490.88 and 958,978.13

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Solution

The third proportional to 444,490.88 and 958,978.13 is: 2,068,971.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    444,490.88 : 958,978.13 = 958,978.13 : x
  2. Step 2: Convert to fraction form
    444,490.88/958,978.13 = 958,978.13/x
  3. Step 3: Cross multiply
    444,490.88x = 958,978.13 × 958,978.13
  4. Step 4: Simplify right side
    444,490.88x = 919,639,044,228.52
  5. Step 5: Solve for x
    x = 919,639,044,228.52/444,490.88
  6. Step 6: Final answer
    x = 2,068,971.71

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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.