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Finding the Third Proportional to 336,336 and 723,696

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Solution

The third proportional to 336,336 and 723,696 is: 1,557,180.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    336,336 : 723,696 = 723,696 : x
  2. Step 2: Convert to fraction form
    336,336/723,696 = 723,696/x
  3. Step 3: Cross multiply
    336,336x = 723,696 × 723,696
  4. Step 4: Simplify right side
    336,336x = 523,735,900,416
  5. Step 5: Solve for x
    x = 523,735,900,416/336,336
  6. Step 6: Final answer
    x = 1,557,180.62

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.