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Finding the Third Proportional to 351,091 and 529,743

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Solution

The third proportional to 351,091 and 529,743 is: 799,301.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    351,091 : 529,743 = 529,743 : x
  2. Step 2: Convert to fraction form
    351,091/529,743 = 529,743/x
  3. Step 3: Cross multiply
    351,091x = 529,743 × 529,743
  4. Step 4: Simplify right side
    351,091x = 280,627,646,049
  5. Step 5: Solve for x
    x = 280,627,646,049/351,091
  6. Step 6: Final answer
    x = 799,301.74

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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.