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Finding the Third Proportional to 336,347 and 505,934

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Solution

The third proportional to 336,347 and 505,934 is: 761,027.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    336,347 : 505,934 = 505,934 : x
  2. Step 2: Convert to fraction form
    336,347/505,934 = 505,934/x
  3. Step 3: Cross multiply
    336,347x = 505,934 × 505,934
  4. Step 4: Simplify right side
    336,347x = 255,969,212,356
  5. Step 5: Solve for x
    x = 255,969,212,356/336,347
  6. Step 6: Final answer
    x = 761,027.19

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