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Finding the Third Proportional to 351,074 and 529,703

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Solution

The third proportional to 351,074 and 529,703 is: 799,219.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    351,074 : 529,703 = 529,703 : x
  2. Step 2: Convert to fraction form
    351,074/529,703 = 529,703/x
  3. Step 3: Cross multiply
    351,074x = 529,703 × 529,703
  4. Step 4: Simplify right side
    351,074x = 280,585,268,209
  5. Step 5: Solve for x
    x = 280,585,268,209/351,074
  6. Step 6: Final answer
    x = 799,219.73

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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.