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Finding the Third Proportional to 367,354 and 529,118

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Solution

The third proportional to 367,354 and 529,118 is: 762,114.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    367,354 : 529,118 = 529,118 : x
  2. Step 2: Convert to fraction form
    367,354/529,118 = 529,118/x
  3. Step 3: Cross multiply
    367,354x = 529,118 × 529,118
  4. Step 4: Simplify right side
    367,354x = 279,965,857,924
  5. Step 5: Solve for x
    x = 279,965,857,924/367,354
  6. Step 6: Final answer
    x = 762,114.63

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.