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Finding the Third Proportional to 284,964.75 and 444,700.13

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Solution

The third proportional to 284,964.75 and 444,700.13 is: 693,974.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    284,964.75 : 444,700.13 = 444,700.13 : x
  2. Step 2: Convert to fraction form
    284,964.75/444,700.13 = 444,700.13/x
  3. Step 3: Cross multiply
    284,964.75x = 444,700.13 × 444,700.13
  4. Step 4: Simplify right side
    284,964.75x = 197,758,201,175.02
  5. Step 5: Solve for x
    x = 197,758,201,175.02/284,964.75
  6. Step 6: Final answer
    x = 693,974.26

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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.