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Finding the Third Proportional to 351,098 and 529,749

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Solution

The third proportional to 351,098 and 529,749 is: 799,303.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    351,098 : 529,749 = 529,749 : x
  2. Step 2: Convert to fraction form
    351,098/529,749 = 529,749/x
  3. Step 3: Cross multiply
    351,098x = 529,749 × 529,749
  4. Step 4: Simplify right side
    351,098x = 280,634,003,001
  5. Step 5: Solve for x
    x = 280,634,003,001/351,098
  6. Step 6: Final answer
    x = 799,303.91

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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.