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Finding the Third Proportional to 336,350 and 505,938

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Solution

The third proportional to 336,350 and 505,938 is: 761,032.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    336,350 : 505,938 = 505,938 : x
  2. Step 2: Convert to fraction form
    336,350/505,938 = 505,938/x
  3. Step 3: Cross multiply
    336,350x = 505,938 × 505,938
  4. Step 4: Simplify right side
    336,350x = 255,973,259,844
  5. Step 5: Solve for x
    x = 255,973,259,844/336,350
  6. Step 6: Final answer
    x = 761,032.44

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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.