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Finding the Third Proportional to 336,634 and 505,814

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Solution

The third proportional to 336,634 and 505,814 is: 760,017.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    336,634 : 505,814 = 505,814 : x
  2. Step 2: Convert to fraction form
    336,634/505,814 = 505,814/x
  3. Step 3: Cross multiply
    336,634x = 505,814 × 505,814
  4. Step 4: Simplify right side
    336,634x = 255,847,802,596
  5. Step 5: Solve for x
    x = 255,847,802,596/336,634
  6. Step 6: Final answer
    x = 760,017.71

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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.