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Finding the Third Proportional to 444,478 and 958,456

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Solution

The third proportional to 444,478 and 958,456 is: 2,066,779.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    444,478 : 958,456 = 958,456 : x
  2. Step 2: Convert to fraction form
    444,478/958,456 = 958,456/x
  3. Step 3: Cross multiply
    444,478x = 958,456 × 958,456
  4. Step 4: Simplify right side
    444,478x = 918,637,903,936
  5. Step 5: Solve for x
    x = 918,637,903,936/444,478
  6. Step 6: Final answer
    x = 2,066,779.24

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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.