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Finding the Third Proportional to 336,346 and 505,932

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Solution

The third proportional to 336,346 and 505,932 is: 761,023.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    336,346 : 505,932 = 505,932 : x
  2. Step 2: Convert to fraction form
    336,346/505,932 = 505,932/x
  3. Step 3: Cross multiply
    336,346x = 505,932 × 505,932
  4. Step 4: Simplify right side
    336,346x = 255,967,188,624
  5. Step 5: Solve for x
    x = 255,967,188,624/336,346
  6. Step 6: Final answer
    x = 761,023.44

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.