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Finding the Third Proportional to 396,064 and 833,600

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Solution

The third proportional to 396,064 and 833,600 is: 1,754,486.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    396,064 : 833,600 = 833,600 : x
  2. Step 2: Convert to fraction form
    396,064/833,600 = 833,600/x
  3. Step 3: Cross multiply
    396,064x = 833,600 × 833,600
  4. Step 4: Simplify right side
    396,064x = 694,888,960,000
  5. Step 5: Solve for x
    x = 694,888,960,000/396,064
  6. Step 6: Final answer
    x = 1,754,486.55

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.