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Finding the Third Proportional to 351,114 and 529,769

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Solution

The third proportional to 351,114 and 529,769 is: 799,327.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    351,114 : 529,769 = 529,769 : x
  2. Step 2: Convert to fraction form
    351,114/529,769 = 529,769/x
  3. Step 3: Cross multiply
    351,114x = 529,769 × 529,769
  4. Step 4: Simplify right side
    351,114x = 280,655,193,361
  5. Step 5: Solve for x
    x = 280,655,193,361/351,114
  6. Step 6: Final answer
    x = 799,327.83

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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.