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Finding the Third Proportional to 284,979.38 and 444,722.63

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Solution

The third proportional to 284,979.38 and 444,722.63 is: 694,008.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    284,979.38 : 444,722.63 = 444,722.63 : x
  2. Step 2: Convert to fraction form
    284,979.38/444,722.63 = 444,722.63/x
  3. Step 3: Cross multiply
    284,979.38x = 444,722.63 × 444,722.63
  4. Step 4: Simplify right side
    284,979.38x = 197,778,213,186.89
  5. Step 5: Solve for x
    x = 197,778,213,186.89/284,979.38
  6. Step 6: Final answer
    x = 694,008.87

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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.