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Finding the Third Proportional to 351,036 and 529,031

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Solution

The third proportional to 351,036 and 529,031 is: 797,279.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    351,036 : 529,031 = 529,031 : x
  2. Step 2: Convert to fraction form
    351,036/529,031 = 529,031/x
  3. Step 3: Cross multiply
    351,036x = 529,031 × 529,031
  4. Step 4: Simplify right side
    351,036x = 279,873,798,961
  5. Step 5: Solve for x
    x = 279,873,798,961/351,036
  6. Step 6: Final answer
    x = 797,279.48

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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.