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Finding the Third Proportional to 351,110 and 529,763

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Solution

The third proportional to 351,110 and 529,763 is: 799,318.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    351,110 : 529,763 = 529,763 : x
  2. Step 2: Convert to fraction form
    351,110/529,763 = 529,763/x
  3. Step 3: Cross multiply
    351,110x = 529,763 × 529,763
  4. Step 4: Simplify right side
    351,110x = 280,648,836,169
  5. Step 5: Solve for x
    x = 280,648,836,169/351,110
  6. Step 6: Final answer
    x = 799,318.84

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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.