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Finding the Third Proportional to 291,832 and 628,664

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Solution

The third proportional to 291,832 and 628,664 is: 1,354,266.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    291,832 : 628,664 = 628,664 : x
  2. Step 2: Convert to fraction form
    291,832/628,664 = 628,664/x
  3. Step 3: Cross multiply
    291,832x = 628,664 × 628,664
  4. Step 4: Simplify right side
    291,832x = 395,218,424,896
  5. Step 5: Solve for x
    x = 395,218,424,896/291,832
  6. Step 6: Final answer
    x = 1,354,266.92

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.