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Finding the Third Proportional to 336,627 and 505,805

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Solution

The third proportional to 336,627 and 505,805 is: 760,006.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    336,627 : 505,805 = 505,805 : x
  2. Step 2: Convert to fraction form
    336,627/505,805 = 505,805/x
  3. Step 3: Cross multiply
    336,627x = 505,805 × 505,805
  4. Step 4: Simplify right side
    336,627x = 255,838,698,025
  5. Step 5: Solve for x
    x = 255,838,698,025/336,627
  6. Step 6: Final answer
    x = 760,006.47

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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.