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Finding the Third Proportional to 309,696 and 463,336

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Solution

The third proportional to 309,696 and 463,336 is: 693,196.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    309,696 : 463,336 = 463,336 : x
  2. Step 2: Convert to fraction form
    309,696/463,336 = 463,336/x
  3. Step 3: Cross multiply
    309,696x = 463,336 × 463,336
  4. Step 4: Simplify right side
    309,696x = 214,680,248,896
  5. Step 5: Solve for x
    x = 214,680,248,896/309,696
  6. Step 6: Final answer
    x = 693,196.71

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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.