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Finding the Third Proportional to 308,645.44 and 463,788.28

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Solution

The third proportional to 308,645.44 and 463,788.28 is: 696,914.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    308,645.44 : 463,788.28 = 463,788.28 : x
  2. Step 2: Convert to fraction form
    308,645.44/463,788.28 = 463,788.28/x
  3. Step 3: Cross multiply
    308,645.44x = 463,788.28 × 463,788.28
  4. Step 4: Simplify right side
    308,645.44x = 215,099,569,824.83
  5. Step 5: Solve for x
    x = 215,099,569,824.83/308,645.44
  6. Step 6: Final answer
    x = 696,914.79

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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.