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Finding the Third Proportional to 519,496 and 829,885

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Solution

The third proportional to 519,496 and 829,885 is: 1,325,725.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    519,496 : 829,885 = 829,885 : x
  2. Step 2: Convert to fraction form
    519,496/829,885 = 829,885/x
  3. Step 3: Cross multiply
    519,496x = 829,885 × 829,885
  4. Step 4: Simplify right side
    519,496x = 688,709,113,225
  5. Step 5: Solve for x
    x = 688,709,113,225/519,496
  6. Step 6: Final answer
    x = 1,325,725.54

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Why These Related Problems?

These problems maintain the same ratio (1.60) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.