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Finding the Third Proportional to 529,100 and 798,422

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Solution

The third proportional to 529,100 and 798,422 is: 1,204,834.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    529,100 : 798,422 = 798,422 : x
  2. Step 2: Convert to fraction form
    529,100/798,422 = 798,422/x
  3. Step 3: Cross multiply
    529,100x = 798,422 × 798,422
  4. Step 4: Simplify right side
    529,100x = 637,477,690,084
  5. Step 5: Solve for x
    x = 637,477,690,084/529,100
  6. Step 6: Final answer
    x = 1,204,834.04

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.