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Finding the Third Proportional to 284,975.63 and 444,716.63

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Solution

The third proportional to 284,975.63 and 444,716.63 is: 693,999.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    284,975.63 : 444,716.63 = 444,716.63 : x
  2. Step 2: Convert to fraction form
    284,975.63/444,716.63 = 444,716.63/x
  3. Step 3: Cross multiply
    284,975.63x = 444,716.63 × 444,716.63
  4. Step 4: Simplify right side
    284,975.63x = 197,772,876,551.39
  5. Step 5: Solve for x
    x = 197,772,876,551.39/284,975.63
  6. Step 6: Final answer
    x = 693,999.27

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.