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Finding the Third Proportional to 350,827 and 529,398

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Solution

The third proportional to 350,827 and 529,398 is: 798,861.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    350,827 : 529,398 = 529,398 : x
  2. Step 2: Convert to fraction form
    350,827/529,398 = 529,398/x
  3. Step 3: Cross multiply
    350,827x = 529,398 × 529,398
  4. Step 4: Simplify right side
    350,827x = 280,262,242,404
  5. Step 5: Solve for x
    x = 280,262,242,404/350,827
  6. Step 6: Final answer
    x = 798,861.67

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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.