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Finding the Third Proportional to 284,969 and 444,706

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Solution

The third proportional to 284,969 and 444,706 is: 693,982.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    284,969 : 444,706 = 444,706 : x
  2. Step 2: Convert to fraction form
    284,969/444,706 = 444,706/x
  3. Step 3: Cross multiply
    284,969x = 444,706 × 444,706
  4. Step 4: Simplify right side
    284,969x = 197,763,426,436
  5. Step 5: Solve for x
    x = 197,763,426,436/284,969
  6. Step 6: Final answer
    x = 693,982.25

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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.