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Finding the Third Proportional to 351,099 and 529,751

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Solution

The third proportional to 351,099 and 529,751 is: 799,307.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    351,099 : 529,751 = 529,751 : x
  2. Step 2: Convert to fraction form
    351,099/529,751 = 529,751/x
  3. Step 3: Cross multiply
    351,099x = 529,751 × 529,751
  4. Step 4: Simplify right side
    351,099x = 280,636,122,001
  5. Step 5: Solve for x
    x = 280,636,122,001/351,099
  6. Step 6: Final answer
    x = 799,307.67

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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.