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Finding the Third Proportional to 336,826 and 508,736

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Solution

The third proportional to 336,826 and 508,736 is: 768,385.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    336,826 : 508,736 = 508,736 : x
  2. Step 2: Convert to fraction form
    336,826/508,736 = 508,736/x
  3. Step 3: Cross multiply
    336,826x = 508,736 × 508,736
  4. Step 4: Simplify right side
    336,826x = 258,812,317,696
  5. Step 5: Solve for x
    x = 258,812,317,696/336,826
  6. Step 6: Final answer
    x = 768,385.81

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.