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Finding the Third Proportional to 444,498 and 958,496

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Solution

The third proportional to 444,498 and 958,496 is: 2,066,858.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    444,498 : 958,496 = 958,496 : x
  2. Step 2: Convert to fraction form
    444,498/958,496 = 958,496/x
  3. Step 3: Cross multiply
    444,498x = 958,496 × 958,496
  4. Step 4: Simplify right side
    444,498x = 918,714,582,016
  5. Step 5: Solve for x
    x = 918,714,582,016/444,498
  6. Step 6: Final answer
    x = 2,066,858.75

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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.